λ
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Atlas › Integer Profiles › Node 21,461,625

21,461,625

33 × 53 × 6359
Deficient Odd Composite

21,461,625 factors as 3^3 × 5^3 × 6359. Its 32 positive divisors give a proper-divisor sum of 18,224,775, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 3^3 × 5^3 × 6359
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 39,686,400
Proper Divisor Sum 18,224,775
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #21461617 ← → #21461647

Radix Representation

Decimal 21461625
Binary 1010001110111101001111001 (25 bits)
Octal 0o121675171
Hexadecimal 0x1477A79

Divisor Catalog (32)

1 3 5 9 15 25 27 45 75 125 135 225 375 675 1,125 3,375 6,359 19,077 31,795 57,231 95,385 158,975 171,693 286,155 476,925 794,875 858,465 1,430,775 2,384,625 4,292,325 7,153,875 21,461,625

Collatz Trajectory (172 steps to reach 1)

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

21,461,625 64,384,876 32,192,438 16,096,219 48,288,658 24,144,329 72,432,988 36,216,494 18,108,247 54,324,742 27,162,371 81,487,114 40,743,557 122,230,672 61,115,336 30,557,668 15,278,834 7,639,417 22,918,252 11,459,126 5,729,563 17,188,690 8,594,345 25,783,036 12,891,518 6,445,759 19,337,278 9,668,639 29,005,918 14,502,959 43,508,878 21,754,439 65,263,318 32,631,659 97,894,978 48,947,489 146,842,468 73,421,234 36,710,617 110,131,852 55,065,926 27,532,963 82,598,890 41,299,445 123,898,336 61,949,168 30,974,584 15,487,292 7,743,646 3,871,823 11,615,470 5,807,735 17,423,206 8,711,603 26,134,810 13,067,405 39,202,216 19,601,108 9,800,554 4,900,277

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