8,460,179

7 × 13 × 31 × 2999

8,460,179 factors as 7 × 13 × 31 × 2999. Its 16 positive divisors give a proper-divisor sum of 2,291,821, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 7 × 13 × 31 × 2999

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,752,000

Proper Divisor Sum 2,291,821

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8460143 ← → #8460191

Radix Representation

Decimal	8460179
Binary	100000010001011110010011 (24 bits)
Octal	0o40213623
Hexadecimal	0x811793

Divisor Catalog (16)

1 7 13 31 91 217 403 2,821 2,999 20,993 38,987 92,969 272,909 650,783 1,208,597 8,460,179

Collatz Trajectory (106 steps to reach 1)

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

8,460,179 25,380,538 12,690,269 38,070,808 19,035,404 9,517,702 4,758,851 14,276,554 7,138,277 21,414,832 10,707,416 5,353,708 2,676,854 1,338,427 4,015,282 2,007,641 6,022,924 3,011,462 1,505,731 4,517,194 2,258,597 6,775,792 3,387,896 1,693,948 846,974 423,487 1,270,462 635,231 1,905,694 952,847 2,858,542 1,429,271 4,287,814 2,143,907 6,431,722 3,215,861 9,647,584 4,823,792 2,411,896 1,205,948 602,974 301,487 904,462 452,231 1,356,694 678,347 2,035,042 1,017,521 3,052,564 1,526,282 763,141 2,289,424 1,144,712 572,356 286,178 143,089 429,268 214,634 107,317 321,952

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