5,140,120

2³ × 5 × 17 × 7559

Starting at 5,140,120, the Collatz iteration reaches 1 after 175 steps. The first transition is 2570060; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 7559

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,247,200

Proper Divisor Sum 7,107,080

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #5140117 ← → #5140123

Radix Representation

Decimal	5140120
Binary	10011100110111010011000 (23 bits)
Octal	0o23467230
Hexadecimal	0x4E6E98

Divisor Catalog (32)

Collatz Trajectory (175 steps to reach 1)

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

5,140,120 2,570,060 1,285,030 642,515 1,927,546 963,773 2,891,320 1,445,660 722,830 361,415 1,084,246 542,123 1,626,370 813,185 2,439,556 1,219,778 609,889 1,829,668 914,834 457,417 1,372,252 686,126 343,063 1,029,190 514,595 1,543,786 771,893 2,315,680 1,157,840 578,920 289,460 144,730 72,365 217,096 108,548 54,274 27,137 81,412 40,706 20,353 61,060 30,530 15,265 45,796 22,898 11,449 34,348 17,174 8,587 25,762 12,881 38,644 19,322 9,661 28,984 14,492 7,246 3,623 10,870 5,435

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