71,989,996

2² × 13 × 103 × 13441

71,989,996 factors as 2^2 × 13 × 103 × 13441. Its 24 positive divisors give a proper-divisor sum of 65,010,868, so this integer is deficient. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 103 × 13441

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 137,000,864

Proper Divisor Sum 65,010,868

Digit Sum / Digital Root 58 (Root: 4)

Adjacent Primes #71989991 ← → #71989997

Radix Representation

Decimal	71989996
Binary	100010010100111101011101100 (27 bits)
Octal	0o422475354
Hexadecimal	0x44A7AEC

Divisor Catalog (24)

Collatz Trajectory (171 steps to reach 1)

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

71,989,996 35,994,998 17,997,499 53,992,498 26,996,249 80,988,748 40,494,374 20,247,187 60,741,562 30,370,781 91,112,344 45,556,172 22,778,086 11,389,043 34,167,130 17,083,565 51,250,696 25,625,348 12,812,674 6,406,337 19,219,012 9,609,506 4,804,753 14,414,260 7,207,130 3,603,565 10,810,696 5,405,348 2,702,674 1,351,337 4,054,012 2,027,006 1,013,503 3,040,510 1,520,255 4,560,766 2,280,383 6,841,150 3,420,575 10,261,726 5,130,863 15,392,590 7,696,295 23,088,886 11,544,443 34,633,330 17,316,665 51,949,996 25,974,998 12,987,499 38,962,498 19,481,249 58,443,748 29,221,874 14,610,937 43,832,812 21,916,406 10,958,203 32,874,610 16,437,305

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