4,337,723

13² × 25667

Starting at 4,337,723, the Collatz iteration reaches 1 after 242 steps. The first transition is 13013170; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 25667

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 4,697,244

Proper Divisor Sum 359,521

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4337717 ← → #4337741

Radix Representation

Decimal	4337723
Binary	10000100011000000111011 (23 bits)
Octal	0o20430073
Hexadecimal	0x42303B

Divisor Catalog (6)

1 13 169 25,667 333,671 4,337,723

Collatz Trajectory (242 steps to reach 1)

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

4,337,723 13,013,170 6,506,585 19,519,756 9,759,878 4,879,939 14,639,818 7,319,909 21,959,728 10,979,864 5,489,932 2,744,966 1,372,483 4,117,450 2,058,725 6,176,176 3,088,088 1,544,044 772,022 386,011 1,158,034 579,017 1,737,052 868,526 434,263 1,302,790 651,395 1,954,186 977,093 2,931,280 1,465,640 732,820 366,410 183,205 549,616 274,808 137,404 68,702 34,351 103,054 51,527 154,582 77,291 231,874 115,937 347,812 173,906 86,953 260,860 130,430 65,215 195,646 97,823 293,470 146,735 440,206 220,103 660,310 330,155 990,466

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