7,615,985

5 × 13² × 9013

7,615,985 factors as 5 × 13^2 × 9013. Its 12 positive divisors give a proper-divisor sum of 2,281,387, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 5 × 13^2 × 9013

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,897,372

Proper Divisor Sum 2,281,387

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7615981 ← → #7615991

Radix Representation

Decimal	7615985
Binary	11101000011010111110001 (23 bits)
Octal	0o35032761
Hexadecimal	0x7435F1

Divisor Catalog (12)

1 5 13 65 169 845 9,013 45,065 117,169 585,845 1,523,197 7,615,985

Collatz Trajectory (142 steps to reach 1)

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

7,615,985 22,847,956 11,423,978 5,711,989 17,135,968 8,567,984 4,283,992 2,141,996 1,070,998 535,499 1,606,498 803,249 2,409,748 1,204,874 602,437 1,807,312 903,656 451,828 225,914 112,957 338,872 169,436 84,718 42,359 127,078 63,539 190,618 95,309 285,928 142,964 71,482 35,741 107,224 53,612 26,806 13,403 40,210 20,105 60,316 30,158 15,079 45,238 22,619 67,858 33,929 101,788 50,894 25,447 76,342 38,171 114,514 57,257 171,772 85,886 42,943 128,830 64,415 193,246 96,623 289,870

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