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Atlas › Integer Profiles › Node 10,695,618

10,695,618

2 × 33 × 17 × 61 × 191
Abundant Even Composite

10,695,618 factors as 2 × 3^3 × 17 × 61 × 191. Its 64 positive divisors give a proper-divisor sum of 15,017,022, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 17 × 61 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,712,640
Proper Divisor Sum 15,017,022
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #10695611 ← → #10695631

Radix Representation

Decimal 10695618
Binary 101000110011001111000010 (24 bits)
Octal 0o50631702
Hexadecimal 0xA333C2

Divisor Catalog (60 of 64)

1 2 3 6 9 17 18 27 34 51 54 61 102 122 153 183 191 306 366 382 459 549 573 918 1,037 1,098 1,146 1,647 1,719 2,074 3,111 3,247 3,294 3,438 5,157 6,222 6,494 9,333 9,741 10,314 11,651 18,666 19,482 23,302 27,999 29,223 34,953 55,998 58,446 69,906 87,669 104,859 175,338 198,067 209,718 314,577 396,134 594,201 629,154 1,188,402

Collatz Trajectory (145 steps to reach 1)

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

10,695,618 5,347,809 16,043,428 8,021,714 4,010,857 12,032,572 6,016,286 3,008,143 9,024,430 4,512,215 13,536,646 6,768,323 20,304,970 10,152,485 30,457,456 15,228,728 7,614,364 3,807,182 1,903,591 5,710,774 2,855,387 8,566,162 4,283,081 12,849,244 6,424,622 3,212,311 9,636,934 4,818,467 14,455,402 7,227,701 21,683,104 10,841,552 5,420,776 2,710,388 1,355,194 677,597 2,032,792 1,016,396 508,198 254,099 762,298 381,149 1,143,448 571,724 285,862 142,931 428,794 214,397 643,192 321,596 160,798 80,399 241,198 120,599 361,798 180,899 542,698 271,349 814,048 407,024

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