1,171,344

2⁴ × 3 × 23 × 1061

Starting at 1,171,344, the Collatz iteration reaches 1 after 72 steps. The first transition is 585672; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 23 × 1061

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 3,160,512

Proper Divisor Sum 1,989,168

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1171343 ← → #1171393

Radix Representation

Decimal	1171344
Binary	100011101111110010000 (21 bits)
Octal	0o4357620
Hexadecimal	0x11DF90

Divisor Catalog (40)

1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1,061 1,104 2,122 3,183 4,244 6,366 8,488 12,732 16,976 24,403 25,464 48,806 50,928 73,209 97,612 146,418 195,224 292,836 390,448 585,672 1,171,344

Collatz Trajectory (72 steps to reach 1)

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

1,171,344 585,672 292,836 146,418 73,209 219,628 109,814 54,907 164,722 82,361 247,084 123,542 61,771 185,314 92,657 277,972 138,986 69,493 208,480 104,240 52,120 26,060 13,030 6,515 19,546 9,773 29,320 14,660 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35

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