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Atlas › Integer Profiles › Node 17,873,160

17,873,160

23 × 3 × 5 × 47 × 3169
Abundant Even Composite

17,873,160 factors as 2^3 × 3 × 5 × 47 × 3169. Its 64 positive divisors give a proper-divisor sum of 36,904,440, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 47 × 3169
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 54,777,600
Proper Divisor Sum 36,904,440
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #17873153 ← → #17873161

Radix Representation

Decimal 17873160
Binary 1000100001011100100001000 (25 bits)
Octal 0o104134410
Hexadecimal 0x110B908

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1,128 1,410 1,880 2,820 3,169 5,640 6,338 9,507 12,676 15,845 19,014 25,352 31,690 38,028 47,535 63,380 76,056 95,070 126,760 148,943 190,140 297,886 380,280 446,829 595,772 744,715 893,658 1,191,544 1,489,430 1,787,316 2,234,145 2,978,860 3,574,632

Collatz Trajectory (120 steps to reach 1)

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

17,873,160 8,936,580 4,468,290 2,234,145 6,702,436 3,351,218 1,675,609 5,026,828 2,513,414 1,256,707 3,770,122 1,885,061 5,655,184 2,827,592 1,413,796 706,898 353,449 1,060,348 530,174 265,087 795,262 397,631 1,192,894 596,447 1,789,342 894,671 2,684,014 1,342,007 4,026,022 2,013,011 6,039,034 3,019,517 9,058,552 4,529,276 2,264,638 1,132,319 3,396,958 1,698,479 5,095,438 2,547,719 7,643,158 3,821,579 11,464,738 5,732,369 17,197,108 8,598,554 4,299,277 12,897,832 6,448,916 3,224,458 1,612,229 4,836,688 2,418,344 1,209,172 604,586 302,293 906,880 453,440 226,720 113,360

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