λ
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Atlas › Integer Profiles › Node 15,401,240

15,401,240

23 × 5 × 41 × 9391
Abundant Even Composite

15,401,240 factors as 2^3 × 5 × 41 × 9391. Its 32 positive divisors give a proper-divisor sum of 20,100,520, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 41 × 9391
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 35,501,760
Proper Divisor Sum 20,100,520
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #15401227 ← → #15401251

Radix Representation

Decimal 15401240
Binary 111010110000000100011000 (24 bits)
Octal 0o72600430
Hexadecimal 0xEB0118

Divisor Catalog (32)

1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1,640 9,391 18,782 37,564 46,955 75,128 93,910 187,820 375,640 385,031 770,062 1,540,124 1,925,155 3,080,248 3,850,310 7,700,620 15,401,240

Collatz Trajectory (112 steps to reach 1)

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

15,401,240 7,700,620 3,850,310 1,925,155 5,775,466 2,887,733 8,663,200 4,331,600 2,165,800 1,082,900 541,450 270,725 812,176 406,088 203,044 101,522 50,761 152,284 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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