72,018,573

3 × 11 × 53 × 41177

72,018,573 factors as 3 × 11 × 53 × 41177. Its 16 positive divisors give a proper-divisor sum of 34,714,803, so this integer is deficient. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 3 × 11 × 53 × 41177

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 106,733,376

Proper Divisor Sum 34,714,803

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #72018559 ← → #72018599

Radix Representation

Decimal	72018573
Binary	100010010101110101010001101 (27 bits)
Octal	0o422565215
Hexadecimal	0x44AEA8D

Divisor Catalog (16)

1 3 11 33 53 159 583 1,749 41,177 123,531 452,947 1,358,841 2,182,381 6,547,143 24,006,191 72,018,573

Collatz Trajectory (215 steps to reach 1)

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

72,018,573 216,055,720 108,027,860 54,013,930 27,006,965 81,020,896 40,510,448 20,255,224 10,127,612 5,063,806 2,531,903 7,595,710 3,797,855 11,393,566 5,696,783 17,090,350 8,545,175 25,635,526 12,817,763 38,453,290 19,226,645 57,679,936 28,839,968 14,419,984 7,209,992 3,604,996 1,802,498 901,249 2,703,748 1,351,874 675,937 2,027,812 1,013,906 506,953 1,520,860 760,430 380,215 1,140,646 570,323 1,710,970 855,485 2,566,456 1,283,228 641,614 320,807 962,422 481,211 1,443,634 721,817 2,165,452 1,082,726 541,363 1,624,090 812,045 2,436,136 1,218,068 609,034 304,517 913,552 456,776

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