72,084,007

463 × 155689

72,084,007 factors as 463 × 155689. Its 4 positive divisors give a proper-divisor sum of 156,153, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 463 × 155689

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 72,240,160

Proper Divisor Sum 156,153

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #72083993 ← → #72084013

Radix Representation

Decimal	72084007
Binary	100010010111110101000100111 (27 bits)
Octal	0o422765047
Hexadecimal	0x44BEA27

Divisor Catalog (4)

1 463 155,689 72,084,007

Collatz Trajectory (140 steps to reach 1)

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

72,084,007 216,252,022 108,126,011 324,378,034 162,189,017 486,567,052 243,283,526 121,641,763 364,925,290 182,462,645 547,387,936 273,693,968 136,846,984 68,423,492 34,211,746 17,105,873 51,317,620 25,658,810 12,829,405 38,488,216 19,244,108 9,622,054 4,811,027 14,433,082 7,216,541 21,649,624 10,824,812 5,412,406 2,706,203 8,118,610 4,059,305 12,177,916 6,088,958 3,044,479 9,133,438 4,566,719 13,700,158 6,850,079 20,550,238 10,275,119 30,825,358 15,412,679 46,238,038 23,119,019 69,357,058 34,678,529 104,035,588 52,017,794 26,008,897 78,026,692 39,013,346 19,506,673 58,520,020 29,260,010 14,630,005 43,890,016 21,945,008 10,972,504 5,486,252 2,743,126

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #72,084,006 Browse Full Index Next Integer #72,084,008 →