15,145,684

2² × 23 × 164627

15,145,684 factors as 2^2 × 23 × 164627. Its 12 positive divisors give a proper-divisor sum of 12,511,820, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 164627

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 27,657,504

Proper Divisor Sum 12,511,820

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #15145681 ← → #15145693

Radix Representation

Decimal	15145684
Binary	111001110001101011010100 (24 bits)
Octal	0o71615324
Hexadecimal	0xE71AD4

Divisor Catalog (12)

1 2 4 23 46 92 164,627 329,254 658,508 3,786,421 7,572,842 15,145,684

Collatz Trajectory (130 steps to reach 1)

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

15,145,684 7,572,842 3,786,421 11,359,264 5,679,632 2,839,816 1,419,908 709,954 354,977 1,064,932 532,466 266,233 798,700 399,350 199,675 599,026 299,513 898,540 449,270 224,635 673,906 336,953 1,010,860 505,430 252,715 758,146 379,073 1,137,220 568,610 284,305 852,916 426,458 213,229 639,688 319,844 159,922 79,961 239,884 119,942 59,971 179,914 89,957 269,872 134,936 67,468 33,734 16,867 50,602 25,301 75,904 37,952 18,976 9,488 4,744 2,372 1,186 593 1,780 890 445

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