5,123,360

2⁵ × 5 × 11 × 41 × 71

Starting at 5,123,360, the Collatz iteration reaches 1 after 100 steps. The first transition is 2561680; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 11 × 41 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 13,716,864

Proper Divisor Sum 8,593,504

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #5123357 ← → #5123399

Radix Representation

Decimal	5123360
Binary	10011100010110100100000 (23 bits)
Octal	0o23426440
Hexadecimal	0x4E2D20

Divisor Catalog (60 of 96)

1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 71 80 82 88 110 142 160 164 176 205 220 284 328 352 355 410 440 451 568 656 710 781 820 880 902 1,136 1,312 1,420 1,562 1,640 1,760 1,804 2,255 2,272 2,840 2,911 3,124 3,280 3,608 3,905 4,510 5,680 5,822 6,248 6,560

Collatz Trajectory (100 steps to reach 1)

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

5,123,360 2,561,680 1,280,840 640,420 320,210 160,105 480,316 240,158 120,079 360,238 180,119 540,358 270,179 810,538 405,269 1,215,808 607,904 303,952 151,976 75,988 37,994 18,997 56,992 28,496 14,248 7,124 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911

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