7,666,984

2³ × 13 × 73721

7,666,984 factors as 2^3 × 13 × 73721. Its 16 positive divisors give a proper-divisor sum of 7,814,636, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 73721

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,481,620

Proper Divisor Sum 7,814,636

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #7666973 ← → #7666993

Radix Representation

Decimal	7666984
Binary	11101001111110100101000 (23 bits)
Octal	0o35176450
Hexadecimal	0x74FD28

Divisor Catalog (16)

1 2 4 8 13 26 52 104 73,721 147,442 294,884 589,768 958,373 1,916,746 3,833,492 7,666,984

Collatz Trajectory (124 steps to reach 1)

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

7,666,984 3,833,492 1,916,746 958,373 2,875,120 1,437,560 718,780 359,390 179,695 539,086 269,543 808,630 404,315 1,212,946 606,473 1,819,420 909,710 454,855 1,364,566 682,283 2,046,850 1,023,425 3,070,276 1,535,138 767,569 2,302,708 1,151,354 575,677 1,727,032 863,516 431,758 215,879 647,638 323,819 971,458 485,729 1,457,188 728,594 364,297 1,092,892 546,446 273,223 819,670 409,835 1,229,506 614,753 1,844,260 922,130 461,065 1,383,196 691,598 345,799 1,037,398 518,699 1,556,098 778,049 2,334,148 1,167,074 583,537 1,750,612

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