712,815

3 × 5 × 47521

Starting at 712,815, the Collatz iteration reaches 1 after 79 steps. The first transition is 2138446; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 47521

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,140,528

Proper Divisor Sum 427,713

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #712807 ← → #712819

Radix Representation

Decimal	712815
Binary	10101110000001101111 (20 bits)
Octal	0o2560157
Hexadecimal	0xAE06F

Divisor Catalog (8)

1 3 5 15 47,521 142,563 237,605 712,815

Collatz Trajectory (79 steps to reach 1)

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

712,815 2,138,446 1,069,223 3,207,670 1,603,835 4,811,506 2,405,753 7,217,260 3,608,630 1,804,315 5,412,946 2,706,473 8,119,420 4,059,710 2,029,855 6,089,566 3,044,783 9,134,350 4,567,175 13,701,526 6,850,763 20,552,290 10,276,145 30,828,436 15,414,218 7,707,109 23,121,328 11,560,664 5,780,332 2,890,166 1,445,083 4,335,250 2,167,625 6,502,876 3,251,438 1,625,719 4,877,158 2,438,579 7,315,738 3,657,869 10,973,608 5,486,804 2,743,402 1,371,701 4,115,104 2,057,552 1,028,776 514,388 257,194 128,597 385,792 192,896 96,448 48,224 24,112 12,056 6,028 3,014 1,507 4,522

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