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24,140,416

27 × 113 × 1669
Abundant Even Composite

24,140,416 factors as 2^7 × 113 × 1669. Its 32 positive divisors give a proper-divisor sum of 24,406,484, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^7 × 113 × 1669
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 48,546,900
Proper Divisor Sum 24,406,484
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #24140411 ← → #24140423

Radix Representation

Decimal 24140416
Binary 1011100000101101010000000 (25 bits)
Octal 0o134055200
Hexadecimal 0x1705A80

Divisor Catalog (32)

1 2 4 8 16 32 64 113 128 226 452 904 1,669 1,808 3,338 3,616 6,676 7,232 13,352 14,464 26,704 53,408 106,816 188,597 213,632 377,194 754,388 1,508,776 3,017,552 6,035,104 12,070,208 24,140,416

Collatz Trajectory (92 steps to reach 1)

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

24,140,416 12,070,208 6,035,104 3,017,552 1,508,776 754,388 377,194 188,597 565,792 282,896 141,448 70,724 35,362 17,681 53,044 26,522 13,261 39,784 19,892 9,946 4,973 14,920 7,460 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119

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