15,580,000

2⁵ × 5⁴ × 19 × 41

15,580,000 factors as 2^5 × 5^4 × 19 × 41. Its 120 positive divisors give a proper-divisor sum of 25,750,520, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^5 × 5^4 × 19 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 41,330,520

Proper Divisor Sum 25,750,520

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #15579929 ← → #15580001

Radix Representation

Decimal	15580000
Binary	111011011011101101100000 (24 bits)
Octal	0o73335540
Hexadecimal	0xEDBB60

Divisor Catalog (60 of 120)

1 2 4 5 8 10 16 19 20 25 32 38 40 41 50 76 80 82 95 100 125 152 160 164 190 200 205 250 304 328 380 400 410 475 500 608 625 656 760 779 800 820 950 1,000 1,025 1,250 1,312 1,520 1,558 1,640 1,900 2,000 2,050 2,375 2,500 3,040 3,116 3,280 3,800 3,895

Collatz Trajectory (112 steps to reach 1)

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

15,580,000 7,790,000 3,895,000 1,947,500 973,750 486,875 1,460,626 730,313 2,190,940 1,095,470 547,735 1,643,206 821,603 2,464,810 1,232,405 3,697,216 1,848,608 924,304 462,152 231,076 115,538 57,769 173,308 86,654 43,327 129,982 64,991 194,974 97,487 292,462 146,231 438,694 219,347 658,042 329,021 987,064 493,532 246,766 123,383 370,150 185,075 555,226 277,613 832,840 416,420 208,210 104,105 312,316 156,158 78,079 234,238 117,119 351,358 175,679 527,038 263,519 790,558 395,279 1,185,838 592,919

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