λ
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Atlas › Integer Profiles › Node 78,496,796

78,496,796

22 × 7 × 41 × 101 × 677
Abundant Even Composite

78,496,796 factors as 2^2 × 7 × 41 × 101 × 677. Its 48 positive divisors give a proper-divisor sum of 84,158,116, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 41 × 101 × 677
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 162,654,912
Proper Divisor Sum 84,158,116
Digit Sum / Digital Root 56 (Root: 2)
Adjacent Primes #78496793 ← → #78496807

Radix Representation

Decimal 78496796
Binary 100101011011100010000011100 (27 bits)
Octal 0o453342034
Hexadecimal 0x4ADC41C

Divisor Catalog (48)

1 2 4 7 14 28 41 82 101 164 202 287 404 574 677 707 1,148 1,354 1,414 2,708 2,828 4,141 4,739 8,282 9,478 16,564 18,956 27,757 28,987 55,514 57,974 68,377 111,028 115,948 136,754 194,299 273,508 388,598 478,639 777,196 957,278 1,914,556 2,803,457 5,606,914 11,213,828 19,624,199 39,248,398 78,496,796

Collatz Trajectory (91 steps to reach 1)

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

78,496,796 39,248,398 19,624,199 58,872,598 29,436,299 88,308,898 44,154,449 132,463,348 66,231,674 33,115,837 99,347,512 49,673,756 24,836,878 12,418,439 37,255,318 18,627,659 55,882,978 27,941,489 83,824,468 41,912,234 20,956,117 62,868,352 31,434,176 15,717,088 7,858,544 3,929,272 1,964,636 982,318 491,159 1,473,478 736,739 2,210,218 1,105,109 3,315,328 1,657,664 828,832 414,416 207,208 103,604 51,802 25,901 77,704 38,852 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308

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