λ
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Atlas › Integer Profiles › Node 7,679,792

7,679,792

24 × 23 × 41 × 509
Abundant Even Composite

7,679,792 factors as 2^4 × 23 × 41 × 509. Its 40 positive divisors give a proper-divisor sum of 8,256,688, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 41 × 509
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 15,936,480
Proper Divisor Sum 8,256,688
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #7679773 ← → #7679797

Radix Representation

Decimal 7679792
Binary 11101010010111100110000 (23 bits)
Octal 0o35227460
Hexadecimal 0x752F30

Divisor Catalog (40)

1 2 4 8 16 23 41 46 82 92 164 184 328 368 509 656 943 1,018 1,886 2,036 3,772 4,072 7,544 8,144 11,707 15,088 20,869 23,414 41,738 46,828 83,476 93,656 166,952 187,312 333,904 479,987 959,974 1,919,948 3,839,896 7,679,792

Collatz Trajectory (124 steps to reach 1)

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

7,679,792 3,839,896 1,919,948 959,974 479,987 1,439,962 719,981 2,159,944 1,079,972 539,986 269,993 809,980 404,990 202,495 607,486 303,743 911,230 455,615 1,366,846 683,423 2,050,270 1,025,135 3,075,406 1,537,703 4,613,110 2,306,555 6,919,666 3,459,833 10,379,500 5,189,750 2,594,875 7,784,626 3,892,313 11,676,940 5,838,470 2,919,235 8,757,706 4,378,853 13,136,560 6,568,280 3,284,140 1,642,070 821,035 2,463,106 1,231,553 3,694,660 1,847,330 923,665 2,770,996 1,385,498 692,749 2,078,248 1,039,124 519,562 259,781 779,344 389,672 194,836 97,418 48,709

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