λ
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957,424

24 × 13 × 4603
Abundant Even Composite

957,424 factors as 2^4 × 13 × 4603. Its 20 positive divisors give a proper-divisor sum of 1,040,712, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 4603
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 1,998,136
Proper Divisor Sum 1,040,712
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #957419 ← → #957431

Radix Representation

Decimal 957424
Binary 11101001101111110000 (20 bits)
Octal 0o3515760
Hexadecimal 0xE9BF0

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 4,603 9,206 18,412 36,824 59,839 73,648 119,678 239,356 478,712 957,424

Collatz Trajectory (170 steps to reach 1)

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

957,424 478,712 239,356 119,678 59,839 179,518 89,759 269,278 134,639 403,918 201,959 605,878 302,939 908,818 454,409 1,363,228 681,614 340,807 1,022,422 511,211 1,533,634 766,817 2,300,452 1,150,226 575,113 1,725,340 862,670 431,335 1,294,006 647,003 1,941,010 970,505 2,911,516 1,455,758 727,879 2,183,638 1,091,819 3,275,458 1,637,729 4,913,188 2,456,594 1,228,297 3,684,892 1,842,446 921,223 2,763,670 1,381,835 4,145,506 2,072,753 6,218,260 3,109,130 1,554,565 4,663,696 2,331,848 1,165,924 582,962 291,481 874,444 437,222 218,611

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