λ
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3,230,680

23 × 5 × 17 × 4751
Abundant Even Composite

3,230,680 factors as 2^3 × 5 × 17 × 4751. Its 32 positive divisors give a proper-divisor sum of 4,467,560, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 4751
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,698,240
Proper Divisor Sum 4,467,560
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3230671 ← → #3230681

Radix Representation

Decimal 3230680
Binary 1100010100101111011000 (22 bits)
Octal 0o14245730
Hexadecimal 0x314BD8

Divisor Catalog (32)

1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 4,751 9,502 19,004 23,755 38,008 47,510 80,767 95,020 161,534 190,040 323,068 403,835 646,136 807,670 1,615,340 3,230,680

Collatz Trajectory (164 steps to reach 1)

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

3,230,680 1,615,340 807,670 403,835 1,211,506 605,753 1,817,260 908,630 454,315 1,362,946 681,473 2,044,420 1,022,210 511,105 1,533,316 766,658 383,329 1,149,988 574,994 287,497 862,492 431,246 215,623 646,870 323,435 970,306 485,153 1,455,460 727,730 363,865 1,091,596 545,798 272,899 818,698 409,349 1,228,048 614,024 307,012 153,506 76,753 230,260 115,130 57,565 172,696 86,348 43,174 21,587 64,762 32,381 97,144 48,572 24,286 12,143 36,430 18,215 54,646 27,323 81,970 40,985 122,956

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