57,726,623

37² × 149 × 283

57,726,623 factors as 37^2 × 149 × 283. Its 12 positive divisors give a proper-divisor sum of 2,211,577, so this integer is deficient. The Collatz stopping time is 300 steps.

Prime Factor Structure

Factorization String 37^2 × 149 × 283

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 59,938,200

Proper Divisor Sum 2,211,577

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #57726601 ← → #57726631

Radix Representation

Decimal	57726623
Binary	11011100001101011010011111 (26 bits)
Octal	0o334153237
Hexadecimal	0x370D69F

Divisor Catalog (12)

1 37 149 283 1,369 5,513 10,471 42,167 203,981 387,427 1,560,179 57,726,623

Collatz Trajectory (300 steps to reach 1)

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

57,726,623 173,179,870 86,589,935 259,769,806 129,884,903 389,654,710 194,827,355 584,482,066 292,241,033 876,723,100 438,361,550 219,180,775 657,542,326 328,771,163 986,313,490 493,156,745 1,479,470,236 739,735,118 369,867,559 1,109,602,678 554,801,339 1,664,404,018 832,202,009 2,496,606,028 1,248,303,014 624,151,507 1,872,454,522 936,227,261 2,808,681,784 1,404,340,892 702,170,446 351,085,223 1,053,255,670 526,627,835 1,579,883,506 789,941,753 2,369,825,260 1,184,912,630 592,456,315 1,777,368,946 888,684,473 2,666,053,420 1,333,026,710 666,513,355 1,999,540,066 999,770,033 2,999,310,100 1,499,655,050 749,827,525 2,249,482,576 1,124,741,288 562,370,644 281,185,322 140,592,661 421,777,984 210,888,992 105,444,496 52,722,248 26,361,124 13,180,562

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