721,469

7 × 103067

Starting at 721,469, the Collatz iteration reaches 1 after 123 steps. The first transition is 2164408; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 103067

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 824,544

Proper Divisor Sum 103,075

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #721451 ← → #721481

Radix Representation

Decimal	721469
Binary	10110000001000111101 (20 bits)
Octal	0o2601075
Hexadecimal	0xB023D

Divisor Catalog (4)

1 7 103,067 721,469

Collatz Trajectory (123 steps to reach 1)

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

721,469 2,164,408 1,082,204 541,102 270,551 811,654 405,827 1,217,482 608,741 1,826,224 913,112 456,556 228,278 114,139 342,418 171,209 513,628 256,814 128,407 385,222 192,611 577,834 288,917 866,752 433,376 216,688 108,344 54,172 27,086 13,543 40,630 20,315 60,946 30,473 91,420 45,710 22,855 68,566 34,283 102,850 51,425 154,276 77,138 38,569 115,708 57,854 28,927 86,782 43,391 130,174 65,087 195,262 97,631 292,894 146,447 439,342 219,671 659,014 329,507 988,522

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