5,632,632

2³ × 3³ × 89 × 293

Starting at 5,632,632, the Collatz iteration reaches 1 after 201 steps. The first transition is 2816316; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 89 × 293

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 15,876,000

Proper Divisor Sum 10,243,368

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5632609 ← → #5632637

Radix Representation

Decimal	5632632
Binary	10101011111001001111000 (23 bits)
Octal	0o25371170
Hexadecimal	0x55F278

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 293 356 534 586 712 801 879 1,068 1,172 1,602 1,758 2,136 2,344 2,403 2,637 3,204 3,516 4,806 5,274 6,408 7,032 7,911 9,612 10,548 15,822 19,224 21,096 26,077 31,644 52,154 63,288 78,231 104,308 156,462 208,616 234,693 312,924 469,386 625,848 704,079 938,772

Collatz Trajectory (201 steps to reach 1)

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

5,632,632 2,816,316 1,408,158 704,079 2,112,238 1,056,119 3,168,358 1,584,179 4,752,538 2,376,269 7,128,808 3,564,404 1,782,202 891,101 2,673,304 1,336,652 668,326 334,163 1,002,490 501,245 1,503,736 751,868 375,934 187,967 563,902 281,951 845,854 422,927 1,268,782 634,391 1,903,174 951,587 2,854,762 1,427,381 4,282,144 2,141,072 1,070,536 535,268 267,634 133,817 401,452 200,726 100,363 301,090 150,545 451,636 225,818 112,909 338,728 169,364 84,682 42,341 127,024 63,512 31,756 15,878 7,939 23,818 11,909 35,728

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