λ
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Atlas › Integer Profiles › Node 24,082,424

24,082,424

23 × 19 × 47 × 3371
Abundant Even Composite

24,082,424 factors as 2^3 × 19 × 47 × 3371. Its 32 positive divisors give a proper-divisor sum of 24,474,376, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 47 × 3371
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 48,556,800
Proper Divisor Sum 24,474,376
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #24082411 ← → #24082427

Radix Representation

Decimal 24082424
Binary 1011011110111011111111000 (25 bits)
Octal 0o133673770
Hexadecimal 0x16F77F8

Divisor Catalog (32)

1 2 4 8 19 38 47 76 94 152 188 376 893 1,786 3,371 3,572 6,742 7,144 13,484 26,968 64,049 128,098 158,437 256,196 316,874 512,392 633,748 1,267,496 3,010,303 6,020,606 12,041,212 24,082,424

Collatz Trajectory (167 steps to reach 1)

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

24,082,424 12,041,212 6,020,606 3,010,303 9,030,910 4,515,455 13,546,366 6,773,183 20,319,550 10,159,775 30,479,326 15,239,663 45,718,990 22,859,495 68,578,486 34,289,243 102,867,730 51,433,865 154,301,596 77,150,798 38,575,399 115,726,198 57,863,099 173,589,298 86,794,649 260,383,948 130,191,974 65,095,987 195,287,962 97,643,981 292,931,944 146,465,972 73,232,986 36,616,493 109,849,480 54,924,740 27,462,370 13,731,185 41,193,556 20,596,778 10,298,389 30,895,168 15,447,584 7,723,792 3,861,896 1,930,948 965,474 482,737 1,448,212 724,106 362,053 1,086,160 543,080 271,540 135,770 67,885 203,656 101,828 50,914 25,457

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