18,471,726

2 × 3⁴ × 7² × 13 × 179

18,471,726 factors as 2 × 3^4 × 7^2 × 13 × 179. Its 120 positive divisors give a proper-divisor sum of 33,669,594, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 7^2 × 13 × 179

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 52,141,320

Proper Divisor Sum 33,669,594

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #18471659 ← → #18471727

Radix Representation

Decimal	18471726
Binary	1000110011101101100101110 (25 bits)
Octal	0o106355456
Hexadecimal	0x119DB2E

Divisor Catalog (60 of 120)

1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 147 162 179 182 189 234 273 294 351 358 378 441 537 546 567 637 702 819 882 1,053 1,074 1,134 1,253 1,274 1,323 1,611 1,638 1,911 2,106 2,327 2,457 2,506 2,646 3,222 3,759 3,822 3,969

Collatz Trajectory (195 steps to reach 1)

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

18,471,726 9,235,863 27,707,590 13,853,795 41,561,386 20,780,693 62,342,080 31,171,040 15,585,520 7,792,760 3,896,380 1,948,190 974,095 2,922,286 1,461,143 4,383,430 2,191,715 6,575,146 3,287,573 9,862,720 4,931,360 2,465,680 1,232,840 616,420 308,210 154,105 462,316 231,158 115,579 346,738 173,369 520,108 260,054 130,027 390,082 195,041 585,124 292,562 146,281 438,844 219,422 109,711 329,134 164,567 493,702 246,851 740,554 370,277 1,110,832 555,416 277,708 138,854 69,427 208,282 104,141 312,424 156,212 78,106 39,053 117,160

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