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Atlas › Integer Profiles › Node 15,055,432

15,055,432

23 × 7 × 23 × 11689
Abundant Even Composite

15,055,432 factors as 2^3 × 7 × 23 × 11689. Its 32 positive divisors give a proper-divisor sum of 18,611,768, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 23 × 11689
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 33,667,200
Proper Divisor Sum 18,611,768
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #15055427 ← → #15055433

Radix Representation

Decimal 15055432
Binary 111001011011101001001000 (24 bits)
Octal 0o71335110
Hexadecimal 0xE5BA48

Divisor Catalog (32)

1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1,288 11,689 23,378 46,756 81,823 93,512 163,646 268,847 327,292 537,694 654,584 1,075,388 1,881,929 2,150,776 3,763,858 7,527,716 15,055,432

Collatz Trajectory (156 steps to reach 1)

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

15,055,432 7,527,716 3,763,858 1,881,929 5,645,788 2,822,894 1,411,447 4,234,342 2,117,171 6,351,514 3,175,757 9,527,272 4,763,636 2,381,818 1,190,909 3,572,728 1,786,364 893,182 446,591 1,339,774 669,887 2,009,662 1,004,831 3,014,494 1,507,247 4,521,742 2,260,871 6,782,614 3,391,307 10,173,922 5,086,961 15,260,884 7,630,442 3,815,221 11,445,664 5,722,832 2,861,416 1,430,708 715,354 357,677 1,073,032 536,516 268,258 134,129 402,388 201,194 100,597 301,792 150,896 75,448 37,724 18,862 9,431 28,294 14,147 42,442 21,221 63,664 31,832 15,916

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