712,407

3 × 73 × 3253

712,407 factors as 3 × 73 × 3253. Its 8 positive divisors give a proper-divisor sum of 250,777, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 3 × 73 × 3253

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 963,184

Proper Divisor Sum 250,777

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #712357 ← → #712409

Radix Representation

Decimal	712407
Binary	10101101111011010111 (20 bits)
Octal	0o2557327
Hexadecimal	0xADED7

Divisor Catalog (8)

1 3 73 219 3,253 9,759 237,469 712,407

Collatz Trajectory (79 steps to reach 1)

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

712,407 2,137,222 1,068,611 3,205,834 1,602,917 4,808,752 2,404,376 1,202,188 601,094 300,547 901,642 450,821 1,352,464 676,232 338,116 169,058 84,529 253,588 126,794 63,397 190,192 95,096 47,548 23,774 11,887 35,662 17,831 53,494 26,747 80,242 40,121 120,364 60,182 30,091 90,274 45,137 135,412 67,706 33,853 101,560 50,780 25,390 12,695 38,086 19,043 57,130 28,565 85,696 42,848 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522

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