72,047,571

3 × 29 × 828133

72,047,571 factors as 3 × 29 × 828133. Its 8 positive divisors give a proper-divisor sum of 27,328,509, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 3 × 29 × 828133

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 99,376,080

Proper Divisor Sum 27,328,509

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #72047551 ← → #72047587

Radix Representation

Decimal	72047571
Binary	100010010110101101111010011 (27 bits)
Octal	0o422655723
Hexadecimal	0x44B5BD3

Divisor Catalog (8)

1 3 29 87 828,133 2,484,399 24,015,857 72,047,571

Collatz Trajectory (140 steps to reach 1)

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

72,047,571 216,142,714 108,071,357 324,214,072 162,107,036 81,053,518 40,526,759 121,580,278 60,790,139 182,370,418 91,185,209 273,555,628 136,777,814 68,388,907 205,166,722 102,583,361 307,750,084 153,875,042 76,937,521 230,812,564 115,406,282 57,703,141 173,109,424 86,554,712 43,277,356 21,638,678 10,819,339 32,458,018 16,229,009 48,687,028 24,343,514 12,171,757 36,515,272 18,257,636 9,128,818 4,564,409 13,693,228 6,846,614 3,423,307 10,269,922 5,134,961 15,404,884 7,702,442 3,851,221 11,553,664 5,776,832 2,888,416 1,444,208 722,104 361,052 180,526 90,263 270,790 135,395 406,186 203,093 609,280 304,640 152,320 76,160

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