9,453,782

2 × 13 × 23 × 15809

Starting at 9,453,782, the Collatz iteration reaches 1 after 132 steps. The first transition is 4726891; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 23 × 15809

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,936,480

Proper Divisor Sum 6,482,698

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9453781 ← → #9453803

Radix Representation

Decimal	9453782
Binary	100100000100000011010110 (24 bits)
Octal	0o44040326
Hexadecimal	0x9040D6

Divisor Catalog (16)

1 2 13 23 26 46 299 598 15,809 31,618 205,517 363,607 411,034 727,214 4,726,891 9,453,782

Collatz Trajectory (132 steps to reach 1)

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

9,453,782 4,726,891 14,180,674 7,090,337 21,271,012 10,635,506 5,317,753 15,953,260 7,976,630 3,988,315 11,964,946 5,982,473 17,947,420 8,973,710 4,486,855 13,460,566 6,730,283 20,190,850 10,095,425 30,286,276 15,143,138 7,571,569 22,714,708 11,357,354 5,678,677 17,036,032 8,518,016 4,259,008 2,129,504 1,064,752 532,376 266,188 133,094 66,547 199,642 99,821 299,464 149,732 74,866 37,433 112,300 56,150 28,075 84,226 42,113 126,340 63,170 31,585 94,756 47,378 23,689 71,068 35,534 17,767 53,302 26,651 79,954 39,977 119,932 59,966

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