λ
Ratio Atlas
Atlas › Integer Profiles › Node 76,247,292

76,247,292

22 × 3 × 11 × 359 × 1609
Abundant Even Composite

76,247,292 factors as 2^2 × 3 × 11 × 359 × 1609. Its 48 positive divisors give a proper-divisor sum of 118,498,308, so this integer is abundant. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 359 × 1609
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 194,745,600
Proper Divisor Sum 118,498,308
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #76247291 ← → #76247317

Radix Representation

Decimal 76247292
Binary 100100010110111000011111100 (27 bits)
Octal 0o442670374
Hexadecimal 0x48B70FC

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 44 66 132 359 718 1,077 1,436 1,609 2,154 3,218 3,949 4,308 4,827 6,436 7,898 9,654 11,847 15,796 17,699 19,308 23,694 35,398 47,388 53,097 70,796 106,194 212,388 577,631 1,155,262 1,732,893 2,310,524 3,465,786 6,353,941 6,931,572 12,707,882 19,061,823 25,415,764 38,123,646 76,247,292

Collatz Trajectory (241 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

76,247,292 38,123,646 19,061,823 57,185,470 28,592,735 85,778,206 42,889,103 128,667,310 64,333,655 193,000,966 96,500,483 289,501,450 144,750,725 434,252,176 217,126,088 108,563,044 54,281,522 27,140,761 81,422,284 40,711,142 20,355,571 61,066,714 30,533,357 91,600,072 45,800,036 22,900,018 11,450,009 34,350,028 17,175,014 8,587,507 25,762,522 12,881,261 38,643,784 19,321,892 9,660,946 4,830,473 14,491,420 7,245,710 3,622,855 10,868,566 5,434,283 16,302,850 8,151,425 24,454,276 12,227,138 6,113,569 18,340,708 9,170,354 4,585,177 13,755,532 6,877,766 3,438,883 10,316,650 5,158,325 15,474,976 7,737,488 3,868,744 1,934,372 967,186 483,593

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #76,247,291 Browse Full Index Next Integer #76,247,293 →