712,287

3³ × 23 × 31 × 37

712,287 factors as 3^3 × 23 × 31 × 37. Its 32 positive divisors give a proper-divisor sum of 455,073, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 3^3 × 23 × 31 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,167,360

Proper Divisor Sum 455,073

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #712279 ← → #712289

Radix Representation

Decimal	712287
Binary	10101101111001011111 (20 bits)
Octal	0o2557137
Hexadecimal	0xADE5F

Divisor Catalog (32)

1 3 9 23 27 31 37 69 93 111 207 279 333 621 713 837 851 999 1,147 2,139 2,553 3,441 6,417 7,659 10,323 19,251 22,977 26,381 30,969 79,143 237,429 712,287

Collatz Trajectory (74 steps to reach 1)

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

712,287 2,136,862 1,068,431 3,205,294 1,602,647 4,807,942 2,403,971 7,211,914 3,605,957 10,817,872 5,408,936 2,704,468 1,352,234 676,117 2,028,352 1,014,176 507,088 253,544 126,772 63,386 31,693 95,080 47,540 23,770 11,885 35,656 17,828 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22

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