5,710,440

2³ × 3 × 5 × 23 × 2069

Starting at 5,710,440, the Collatz iteration reaches 1 after 126 steps. The first transition is 2855220; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 23 × 2069

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 17,884,800

Proper Divisor Sum 12,174,360

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #5710429 ← → #5710457

Radix Representation

Decimal	5710440
Binary	10101110010001001101000 (23 bits)
Octal	0o25621150
Hexadecimal	0x572268

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1,380 2,069 2,760 4,138 6,207 8,276 10,345 12,414 16,552 20,690 24,828 31,035 41,380 47,587 49,656 62,070 82,760 95,174 124,140 142,761 190,348 237,935 248,280 285,522 380,696 475,870 571,044 713,805 951,740 1,142,088

Collatz Trajectory (126 steps to reach 1)

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

5,710,440 2,855,220 1,427,610 713,805 2,141,416 1,070,708 535,354 267,677 803,032 401,516 200,758 100,379 301,138 150,569 451,708 225,854 112,927 338,782 169,391 508,174 254,087 762,262 381,131 1,143,394 571,697 1,715,092 857,546 428,773 1,286,320 643,160 321,580 160,790 80,395 241,186 120,593 361,780 180,890 90,445 271,336 135,668 67,834 33,917 101,752 50,876 25,438 12,719 38,158 19,079 57,238 28,619 85,858 42,929 128,788 64,394 32,197 96,592 48,296 24,148 12,074 6,037

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