λ
Ratio Atlas
Atlas › Integer Profiles › Node 24,924,888

24,924,888

23 × 33 × 257 × 449
Abundant Even Composite

24,924,888 factors as 2^3 × 3^3 × 257 × 449. Its 64 positive divisors give a proper-divisor sum of 44,735,112, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 257 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 69,660,000
Proper Divisor Sum 44,735,112
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #24924883 ← → #24924923

Radix Representation

Decimal 24924888
Binary 1011111000101001011011000 (25 bits)
Octal 0o137051330
Hexadecimal 0x17C52D8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 257 449 514 771 898 1,028 1,347 1,542 1,796 2,056 2,313 2,694 3,084 3,592 4,041 4,626 5,388 6,168 6,939 8,082 9,252 10,776 12,123 13,878 16,164 18,504 24,246 27,756 32,328 48,492 55,512 96,984 115,393 230,786 346,179 461,572 692,358 923,144 1,038,537 1,384,716 2,077,074 2,769,432 3,115,611 4,154,148

Collatz Trajectory (136 steps to reach 1)

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

24,924,888 12,462,444 6,231,222 3,115,611 9,346,834 4,673,417 14,020,252 7,010,126 3,505,063 10,515,190 5,257,595 15,772,786 7,886,393 23,659,180 11,829,590 5,914,795 17,744,386 8,872,193 26,616,580 13,308,290 6,654,145 19,962,436 9,981,218 4,990,609 14,971,828 7,485,914 3,742,957 11,228,872 5,614,436 2,807,218 1,403,609 4,210,828 2,105,414 1,052,707 3,158,122 1,579,061 4,737,184 2,368,592 1,184,296 592,148 296,074 148,037 444,112 222,056 111,028 55,514 27,757 83,272 41,636 20,818 10,409 31,228 15,614 7,807 23,422 11,711 35,134 17,567 52,702 26,351

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #24,924,887 Browse Full Index Next Integer #24,924,889 →