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Atlas › Integer Profiles › Node 65,106,976

65,106,976

25 × 11 × 37 × 4999
Abundant Even Composite

65,106,976 factors as 2^5 × 11 × 37 × 4999. Its 48 positive divisors give a proper-divisor sum of 78,533,024, so this integer is abundant. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 37 × 4999
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 143,640,000
Proper Divisor Sum 78,533,024
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #65106961 ← → #65106989

Radix Representation

Decimal 65106976
Binary 11111000010111010000100000 (26 bits)
Octal 0o370272040
Hexadecimal 0x3E17420

Divisor Catalog (48)

1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 592 814 1,184 1,628 3,256 4,999 6,512 9,998 13,024 19,996 39,992 54,989 79,984 109,978 159,968 184,963 219,956 369,926 439,912 739,852 879,824 1,479,704 1,759,648 2,034,593 2,959,408 4,069,186 5,918,816 8,138,372 16,276,744 32,553,488 65,106,976

Collatz Trajectory (140 steps to reach 1)

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

65,106,976 32,553,488 16,276,744 8,138,372 4,069,186 2,034,593 6,103,780 3,051,890 1,525,945 4,577,836 2,288,918 1,144,459 3,433,378 1,716,689 5,150,068 2,575,034 1,287,517 3,862,552 1,931,276 965,638 482,819 1,448,458 724,229 2,172,688 1,086,344 543,172 271,586 135,793 407,380 203,690 101,845 305,536 152,768 76,384 38,192 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482

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