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Atlas › Integer Profiles › Node 6,977,960

6,977,960

23 × 5 × 11 × 15859
Abundant Even Composite

6,977,960 factors as 2^3 × 5 × 11 × 15859. Its 32 positive divisors give a proper-divisor sum of 10,150,840, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 15859
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,128,800
Proper Divisor Sum 10,150,840
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #6977923 ← → #6977969

Radix Representation

Decimal 6977960
Binary 11010100111100110101000 (23 bits)
Octal 0o32474650
Hexadecimal 0x6A79A8

Divisor Catalog (32)

1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 15,859 31,718 63,436 79,295 126,872 158,590 174,449 317,180 348,898 634,360 697,796 872,245 1,395,592 1,744,490 3,488,980 6,977,960

Collatz Trajectory (160 steps to reach 1)

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

6,977,960 3,488,980 1,744,490 872,245 2,616,736 1,308,368 654,184 327,092 163,546 81,773 245,320 122,660 61,330 30,665 91,996 45,998 22,999 68,998 34,499 103,498 51,749 155,248 77,624 38,812 19,406 9,703 29,110 14,555 43,666 21,833 65,500 32,750 16,375 49,126 24,563 73,690 36,845 110,536 55,268 27,634 13,817 41,452 20,726 10,363 31,090 15,545 46,636 23,318 11,659 34,978 17,489 52,468 26,234 13,117 39,352 19,676 9,838 4,919 14,758 7,379

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