λ
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Atlas › Integer Profiles › Node 61,521,688

61,521,688

23 × 23 × 257 × 1301
Deficient Even Composite

61,521,688 factors as 2^3 × 23 × 257 × 1301. Its 32 positive divisors give a proper-divisor sum of 59,408,072, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 257 × 1301
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 120,929,760
Proper Divisor Sum 59,408,072
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #61521679 ← → #61521697

Radix Representation

Decimal 61521688
Binary 11101010101011111100011000 (26 bits)
Octal 0o352537430
Hexadecimal 0x3AABF18

Divisor Catalog (32)

1 2 4 8 23 46 92 184 257 514 1,028 1,301 2,056 2,602 5,204 5,911 10,408 11,822 23,644 29,923 47,288 59,846 119,692 239,384 334,357 668,714 1,337,428 2,674,856 7,690,211 15,380,422 30,760,844 61,521,688

Collatz Trajectory (145 steps to reach 1)

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

61,521,688 30,760,844 15,380,422 7,690,211 23,070,634 11,535,317 34,605,952 17,302,976 8,651,488 4,325,744 2,162,872 1,081,436 540,718 270,359 811,078 405,539 1,216,618 608,309 1,824,928 912,464 456,232 228,116 114,058 57,029 171,088 85,544 42,772 21,386 10,693 32,080 16,040 8,020 4,010 2,005 6,016 3,008 1,504 752 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310

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