13,142,575

5² × 131 × 4013

13,142,575 factors as 5^2 × 131 × 4013. Its 12 positive divisors give a proper-divisor sum of 3,282,713, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 5^2 × 131 × 4013

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,425,288

Proper Divisor Sum 3,282,713

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #13142573 ← → #13142579

Radix Representation

Decimal	13142575
Binary	110010001000101000101111 (24 bits)
Octal	0o62105057
Hexadecimal	0xC88A2F

Divisor Catalog (12)

1 5 25 131 655 3,275 4,013 20,065 100,325 525,703 2,628,515 13,142,575

Collatz Trajectory (179 steps to reach 1)

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

13,142,575 39,427,726 19,713,863 59,141,590 29,570,795 88,712,386 44,356,193 133,068,580 66,534,290 33,267,145 99,801,436 49,900,718 24,950,359 74,851,078 37,425,539 112,276,618 56,138,309 168,414,928 84,207,464 42,103,732 21,051,866 10,525,933 31,577,800 15,788,900 7,894,450 3,947,225 11,841,676 5,920,838 2,960,419 8,881,258 4,440,629 13,321,888 6,660,944 3,330,472 1,665,236 832,618 416,309 1,248,928 624,464 312,232 156,116 78,058 39,029 117,088 58,544 29,272 14,636 7,318 3,659 10,978 5,489 16,468 8,234 4,117 12,352 6,176 3,088 1,544 772 386

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