712,924

2² × 178231

Starting at 712,924, the Collatz iteration reaches 1 after 242 steps. The first transition is 356462; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 178231

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,247,624

Proper Divisor Sum 534,700

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #712913 ← → #712927

Radix Representation

Decimal	712924
Binary	10101110000011011100 (20 bits)
Octal	0o2560334
Hexadecimal	0xAE0DC

Divisor Catalog (6)

1 2 4 178,231 356,462 712,924

Collatz Trajectory (242 steps to reach 1)

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

712,924 356,462 178,231 534,694 267,347 802,042 401,021 1,203,064 601,532 300,766 150,383 451,150 225,575 676,726 338,363 1,015,090 507,545 1,522,636 761,318 380,659 1,141,978 570,989 1,712,968 856,484 428,242 214,121 642,364 321,182 160,591 481,774 240,887 722,662 361,331 1,083,994 541,997 1,625,992 812,996 406,498 203,249 609,748 304,874 152,437 457,312 228,656 114,328 57,164 28,582 14,291 42,874 21,437 64,312 32,156 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134

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