9,460,344

2³ × 3 × 43 × 89 × 103

Starting at 9,460,344, the Collatz iteration reaches 1 after 238 steps. The first transition is 4730172; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 43 × 89 × 103

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 24,710,400

Proper Divisor Sum 15,250,056

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9460331 ← → #9460379

Radix Representation

Decimal	9460344
Binary	100100000101101001111000 (24 bits)
Octal	0o44055170
Hexadecimal	0x905A78

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 24 43 86 89 103 129 172 178 206 258 267 309 344 356 412 516 534 618 712 824 1,032 1,068 1,236 2,136 2,472 3,827 4,429 7,654 8,858 9,167 11,481 13,287 15,308 17,716 18,334 22,962 26,574 27,501 30,616 35,432 36,668 45,924 53,148 55,002 73,336 91,848 106,296 110,004 220,008 394,181 788,362 1,182,543 1,576,724

Collatz Trajectory (238 steps to reach 1)

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

9,460,344 4,730,172 2,365,086 1,182,543 3,547,630 1,773,815 5,321,446 2,660,723 7,982,170 3,991,085 11,973,256 5,986,628 2,993,314 1,496,657 4,489,972 2,244,986 1,122,493 3,367,480 1,683,740 841,870 420,935 1,262,806 631,403 1,894,210 947,105 2,841,316 1,420,658 710,329 2,130,988 1,065,494 532,747 1,598,242 799,121 2,397,364 1,198,682 599,341 1,798,024 899,012 449,506 224,753 674,260 337,130 168,565 505,696 252,848 126,424 63,212 31,606 15,803 47,410 23,705 71,116 35,558 17,779 53,338 26,669 80,008 40,004 20,002 10,001

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