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Atlas › Integer Profiles › Node 24,924,504

24,924,504

23 × 3 × 11 × 19 × 4969
Abundant Even Composite

24,924,504 factors as 2^3 × 3 × 11 × 19 × 4969. Its 64 positive divisors give a proper-divisor sum of 46,643,496, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 19 × 4969
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 71,568,000
Proper Divisor Sum 46,643,496
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #24924467 ← → #24924517

Radix Representation

Decimal 24924504
Binary 1011111000101000101011000 (25 bits)
Octal 0o137050530
Hexadecimal 0x17C5158

Divisor Catalog (60 of 64)

1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1,254 1,672 2,508 4,969 5,016 9,938 14,907 19,876 29,814 39,752 54,659 59,628 94,411 109,318 119,256 163,977 188,822 218,636 283,233 327,954 377,644 437,272 566,466 655,908 755,288 1,038,521 1,132,932 1,311,816 2,077,042 2,265,864 3,115,563 4,154,084

Collatz Trajectory (154 steps to reach 1)

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

24,924,504 12,462,252 6,231,126 3,115,563 9,346,690 4,673,345 14,020,036 7,010,018 3,505,009 10,515,028 5,257,514 2,628,757 7,886,272 3,943,136 1,971,568 985,784 492,892 246,446 123,223 369,670 184,835 554,506 277,253 831,760 415,880 207,940 103,970 51,985 155,956 77,978 38,989 116,968 58,484 29,242 14,621 43,864 21,932 10,966 5,483 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394

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