13,177,330

2 × 5 × 197 × 6689

13,177,330 factors as 2 × 5 × 197 × 6689. Its 16 positive divisors give a proper-divisor sum of 10,665,830, so this integer is deficient. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2 × 5 × 197 × 6689

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 23,843,160

Proper Divisor Sum 10,665,830

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #13177319 ← → #13177379

Radix Representation

Decimal	13177330
Binary	110010010001000111110010 (24 bits)
Octal	0o62210762
Hexadecimal	0xC911F2

Divisor Catalog (16)

1 2 5 10 197 394 985 1,970 6,689 13,378 33,445 66,890 1,317,733 2,635,466 6,588,665 13,177,330

Collatz Trajectory (122 steps to reach 1)

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

13,177,330 6,588,665 19,765,996 9,882,998 4,941,499 14,824,498 7,412,249 22,236,748 11,118,374 5,559,187 16,677,562 8,338,781 25,016,344 12,508,172 6,254,086 3,127,043 9,381,130 4,690,565 14,071,696 7,035,848 3,517,924 1,758,962 879,481 2,638,444 1,319,222 659,611 1,978,834 989,417 2,968,252 1,484,126 742,063 2,226,190 1,113,095 3,339,286 1,669,643 5,008,930 2,504,465 7,513,396 3,756,698 1,878,349 5,635,048 2,817,524 1,408,762 704,381 2,113,144 1,056,572 528,286 264,143 792,430 396,215 1,188,646 594,323 1,782,970 891,485 2,674,456 1,337,228 668,614 334,307 1,002,922 501,461

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