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Atlas › Integer Profiles › Node 76,354,544

76,354,544

24 × 73 × 13913
Abundant Even Composite

76,354,544 factors as 2^4 × 7^3 × 13913. Its 40 positive divisors give a proper-divisor sum of 96,179,056, so this integer is abundant. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 2^4 × 7^3 × 13913
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 172,533,600
Proper Divisor Sum 96,179,056
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #76354517 ← → #76354547

Radix Representation

Decimal 76354544
Binary 100100011010001001111110000 (27 bits)
Octal 0o443211760
Hexadecimal 0x48D13F0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1,372 2,744 5,488 13,913 27,826 55,652 97,391 111,304 194,782 222,608 389,564 681,737 779,128 1,363,474 1,558,256 2,726,948 4,772,159 5,453,896 9,544,318 10,907,792 19,088,636 38,177,272 76,354,544

Collatz Trajectory (241 steps to reach 1)

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

76,354,544 38,177,272 19,088,636 9,544,318 4,772,159 14,316,478 7,158,239 21,474,718 10,737,359 32,212,078 16,106,039 48,318,118 24,159,059 72,477,178 36,238,589 108,715,768 54,357,884 27,178,942 13,589,471 40,768,414 20,384,207 61,152,622 30,576,311 91,728,934 45,864,467 137,593,402 68,796,701 206,390,104 103,195,052 51,597,526 25,798,763 77,396,290 38,698,145 116,094,436 58,047,218 29,023,609 87,070,828 43,535,414 21,767,707 65,303,122 32,651,561 97,954,684 48,977,342 24,488,671 73,466,014 36,733,007 110,199,022 55,099,511 165,298,534 82,649,267 247,947,802 123,973,901 371,921,704 185,960,852 92,980,426 46,490,213 139,470,640 69,735,320 34,867,660 17,433,830

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