72,007,142

2 × 101 × 193 × 1847

72,007,142 factors as 2 × 101 × 193 × 1847. Its 16 positive divisors give a proper-divisor sum of 37,697,530, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2 × 101 × 193 × 1847

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 109,704,672

Proper Divisor Sum 37,697,530

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #72007129 ← → #72007147

Radix Representation

Decimal	72007142
Binary	100010010101011110111100110 (27 bits)
Octal	0o422536746
Hexadecimal	0x44ABDE6

Divisor Catalog (16)

1 2 101 193 202 386 1,847 3,694 19,493 38,986 186,547 356,471 373,094 712,942 36,003,571 72,007,142

Collatz Trajectory (140 steps to reach 1)

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

72,007,142 36,003,571 108,010,714 54,005,357 162,016,072 81,008,036 40,504,018 20,252,009 60,756,028 30,378,014 15,189,007 45,567,022 22,783,511 68,350,534 34,175,267 102,525,802 51,262,901 153,788,704 76,894,352 38,447,176 19,223,588 9,611,794 4,805,897 14,417,692 7,208,846 3,604,423 10,813,270 5,406,635 16,219,906 8,109,953 24,329,860 12,164,930 6,082,465 18,247,396 9,123,698 4,561,849 13,685,548 6,842,774 3,421,387 10,264,162 5,132,081 15,396,244 7,698,122 3,849,061 11,547,184 5,773,592 2,886,796 1,443,398 721,699 2,165,098 1,082,549 3,247,648 1,623,824 811,912 405,956 202,978 101,489 304,468 152,234 76,117

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