λ
Ratio Atlas
Atlas › Integer Profiles › Node 24,630,610

24,630,610

2 × 5 × 71 × 113 × 307
Deficient Even Composite

24,630,610 factors as 2 × 5 × 71 × 113 × 307. Its 32 positive divisors give a proper-divisor sum of 20,874,542, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 5 × 71 × 113 × 307
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 45,505,152
Proper Divisor Sum 20,874,542
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #24630601 ← → #24630611

Radix Representation

Decimal 24630610
Binary 1011101111101010101010010 (25 bits)
Octal 0o135752522
Hexadecimal 0x177D552

Divisor Catalog (32)

1 2 5 10 71 113 142 226 307 355 565 614 710 1,130 1,535 3,070 8,023 16,046 21,797 34,691 40,115 43,594 69,382 80,230 108,985 173,455 217,970 346,910 2,463,061 4,926,122 12,315,305 24,630,610

Collatz Trajectory (167 steps to reach 1)

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

24,630,610 12,315,305 36,945,916 18,472,958 9,236,479 27,709,438 13,854,719 41,564,158 20,782,079 62,346,238 31,173,119 93,519,358 46,759,679 140,279,038 70,139,519 210,418,558 105,209,279 315,627,838 157,813,919 473,441,758 236,720,879 710,162,638 355,081,319 1,065,243,958 532,621,979 1,597,865,938 798,932,969 2,396,798,908 1,198,399,454 599,199,727 1,797,599,182 898,799,591 2,696,398,774 1,348,199,387 4,044,598,162 2,022,299,081 6,066,897,244 3,033,448,622 1,516,724,311 4,550,172,934 2,275,086,467 6,825,259,402 3,412,629,701 10,237,889,104 5,118,944,552 2,559,472,276 1,279,736,138 639,868,069 1,919,604,208 959,802,104 479,901,052 239,950,526 119,975,263 359,925,790 179,962,895 539,888,686 269,944,343 809,833,030 404,916,515 1,214,749,546

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