λ
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Atlas › Integer Profiles › Node 51,962,728

51,962,728

23 × 61 × 233 × 457
Deficient Even Composite

51,962,728 factors as 2^3 × 61 × 233 × 457. Its 32 positive divisors give a proper-divisor sum of 47,707,232, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^3 × 61 × 233 × 457
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 99,669,960
Proper Divisor Sum 47,707,232
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #51962723 ← → #51962749

Radix Representation

Decimal 51962728
Binary 11000110001110001101101000 (26 bits)
Octal 0o306161550
Hexadecimal 0x318E368

Divisor Catalog (32)

1 2 4 8 61 122 233 244 457 466 488 914 932 1,828 1,864 3,656 14,213 27,877 28,426 55,754 56,852 106,481 111,508 113,704 212,962 223,016 425,924 851,848 6,495,341 12,990,682 25,981,364 51,962,728

Collatz Trajectory (212 steps to reach 1)

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

51,962,728 25,981,364 12,990,682 6,495,341 19,486,024 9,743,012 4,871,506 2,435,753 7,307,260 3,653,630 1,826,815 5,480,446 2,740,223 8,220,670 4,110,335 12,331,006 6,165,503 18,496,510 9,248,255 27,744,766 13,872,383 41,617,150 20,808,575 62,425,726 31,212,863 93,638,590 46,819,295 140,457,886 70,228,943 210,686,830 105,343,415 316,030,246 158,015,123 474,045,370 237,022,685 711,068,056 355,534,028 177,767,014 88,883,507 266,650,522 133,325,261 399,975,784 199,987,892 99,993,946 49,996,973 149,990,920 74,995,460 37,497,730 18,748,865 56,246,596 28,123,298 14,061,649 42,184,948 21,092,474 10,546,237 31,638,712 15,819,356 7,909,678 3,954,839 11,864,518

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