9,406,345

5 × 13 × 47 × 3079

Starting at 9,406,345, the Collatz iteration reaches 1 after 176 steps. The first transition is 28219036; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 47 × 3079

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,418,560

Proper Divisor Sum 3,012,215

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9406339 ← → #9406393

Radix Representation

Decimal	9406345
Binary	100011111000011110001001 (24 bits)
Octal	0o43703611
Hexadecimal	0x8F8789

Divisor Catalog (16)

1 5 13 47 65 235 611 3,055 3,079 15,395 40,027 144,713 200,135 723,565 1,881,269 9,406,345

Collatz Trajectory (176 steps to reach 1)

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

9,406,345 28,219,036 14,109,518 7,054,759 21,164,278 10,582,139 31,746,418 15,873,209 47,619,628 23,809,814 11,904,907 35,714,722 17,857,361 53,572,084 26,786,042 13,393,021 40,179,064 20,089,532 10,044,766 5,022,383 15,067,150 7,533,575 22,600,726 11,300,363 33,901,090 16,950,545 50,851,636 25,425,818 12,712,909 38,138,728 19,069,364 9,534,682 4,767,341 14,302,024 7,151,012 3,575,506 1,787,753 5,363,260 2,681,630 1,340,815 4,022,446 2,011,223 6,033,670 3,016,835 9,050,506 4,525,253 13,575,760 6,787,880 3,393,940 1,696,970 848,485 2,545,456 1,272,728 636,364 318,182 159,091 477,274 238,637 715,912 357,956

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