15,401,320

2³ × 5 × 11 × 17 × 29 × 71

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 17 × 29 × 71

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 41,990,400

Proper Divisor Sum 26,589,080

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #15401317 ← → #15401333

Radix Representation

Decimal	15401320
Binary	111010110000000101101000 (24 bits)
Octal	0o72600550
Hexadecimal	0xEB0168

Divisor Catalog (60 of 128)

1 2 4 5 8 10 11 17 20 22 29 34 40 44 55 58 68 71 85 88 110 116 136 142 145 170 187 220 232 284 290 319 340 355 374 440 493 568 580 638 680 710 748 781 935 986 1,160 1,207 1,276 1,420 1,496 1,562 1,595 1,870 1,972 2,059 2,414 2,465 2,552 2,840

Collatz Trajectory (112 steps to reach 1)

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

15,401,320 7,700,660 3,850,330 1,925,165 5,775,496 2,887,748 1,443,874 721,937 2,165,812 1,082,906 541,453 1,624,360 812,180 406,090 203,045 609,136 304,568 152,284 76,142 38,071 114,214 57,107 171,322 85,661 256,984 128,492 64,246 32,123 96,370 48,185 144,556 72,278 36,139 108,418 54,209 162,628 81,314 40,657 121,972 60,986 30,493 91,480 45,740 22,870 11,435 34,306 17,153 51,460 25,730 12,865 38,596 19,298 9,649 28,948 14,474 7,237 21,712 10,856 5,428 2,714

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