18,540,232

2³ × 31 × 74759

18,540,232 factors as 2^3 × 31 × 74759. Its 16 positive divisors give a proper-divisor sum of 17,344,568, so this integer is deficient. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 74759

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 35,884,800

Proper Divisor Sum 17,344,568

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #18540229 ← → #18540239

Radix Representation

Decimal	18540232
Binary	1000110101110011011001000 (25 bits)
Octal	0o106563310
Hexadecimal	0x11AE6C8

Divisor Catalog (16)

1 2 4 8 31 62 124 248 74,759 149,518 299,036 598,072 2,317,529 4,635,058 9,270,116 18,540,232

Collatz Trajectory (195 steps to reach 1)

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

18,540,232 9,270,116 4,635,058 2,317,529 6,952,588 3,476,294 1,738,147 5,214,442 2,607,221 7,821,664 3,910,832 1,955,416 977,708 488,854 244,427 733,282 366,641 1,099,924 549,962 274,981 824,944 412,472 206,236 103,118 51,559 154,678 77,339 232,018 116,009 348,028 174,014 87,007 261,022 130,511 391,534 195,767 587,302 293,651 880,954 440,477 1,321,432 660,716 330,358 165,179 495,538 247,769 743,308 371,654 185,827 557,482 278,741 836,224 418,112 209,056 104,528 52,264 26,132 13,066 6,533 19,600

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