13,122,410

2 × 5 × 7 × 187463

13,122,410 factors as 2 × 5 × 7 × 187463. Its 16 positive divisors give a proper-divisor sum of 13,872,406, so this integer is abundant. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 187463

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 26,994,816

Proper Divisor Sum 13,872,406

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #13122409 ← → #13122437

Radix Representation

Decimal	13122410
Binary	110010000011101101101010 (24 bits)
Octal	0o62035552
Hexadecimal	0xC83B6A

Divisor Catalog (16)

1 2 5 7 10 14 35 70 187,463 374,926 937,315 1,312,241 1,874,630 2,624,482 6,561,205 13,122,410

Collatz Trajectory (241 steps to reach 1)

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

13,122,410 6,561,205 19,683,616 9,841,808 4,920,904 2,460,452 1,230,226 615,113 1,845,340 922,670 461,335 1,384,006 692,003 2,076,010 1,038,005 3,114,016 1,557,008 778,504 389,252 194,626 97,313 291,940 145,970 72,985 218,956 109,478 54,739 164,218 82,109 246,328 123,164 61,582 30,791 92,374 46,187 138,562 69,281 207,844 103,922 51,961 155,884 77,942 38,971 116,914 58,457 175,372 87,686 43,843 131,530 65,765 197,296 98,648 49,324 24,662 12,331 36,994 18,497 55,492 27,746 13,873

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