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Atlas › Integer Profiles › Node 30,573,136

30,573,136

24 × 11 × 271 × 641
Abundant Even Composite

30,573,136 factors as 2^4 × 11 × 271 × 641. Its 40 positive divisors give a proper-divisor sum of 34,386,992, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 271 × 641
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 64,960,128
Proper Divisor Sum 34,386,992
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #30573131 ← → #30573143

Radix Representation

Decimal 30573136
Binary 1110100101000001001010000 (25 bits)
Octal 0o164501120
Hexadecimal 0x1D28250

Divisor Catalog (40)

1 2 4 8 11 16 22 44 88 176 271 542 641 1,084 1,282 2,168 2,564 2,981 4,336 5,128 5,962 7,051 10,256 11,924 14,102 23,848 28,204 47,696 56,408 112,816 173,711 347,422 694,844 1,389,688 1,910,821 2,779,376 3,821,642 7,643,284 15,286,568 30,573,136

Collatz Trajectory (175 steps to reach 1)

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

30,573,136 15,286,568 7,643,284 3,821,642 1,910,821 5,732,464 2,866,232 1,433,116 716,558 358,279 1,074,838 537,419 1,612,258 806,129 2,418,388 1,209,194 604,597 1,813,792 906,896 453,448 226,724 113,362 56,681 170,044 85,022 42,511 127,534 63,767 191,302 95,651 286,954 143,477 430,432 215,216 107,608 53,804 26,902 13,451 40,354 20,177 60,532 30,266 15,133 45,400 22,700 11,350 5,675 17,026 8,513 25,540 12,770 6,385 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898

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