1,159,936

2⁸ × 23 × 197

Starting at 1,159,936, the Collatz iteration reaches 1 after 72 steps. The first transition is 579968; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 23 × 197

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 2,428,272

Proper Divisor Sum 1,268,336

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #1159919 ← → #1159967

Radix Representation

Decimal	1159936
Binary	100011011001100000000 (21 bits)
Octal	0o4331400
Hexadecimal	0x11B300

Divisor Catalog (36)

1 2 4 8 16 23 32 46 64 92 128 184 197 256 368 394 736 788 1,472 1,576 2,944 3,152 4,531 5,888 6,304 9,062 12,608 18,124 25,216 36,248 50,432 72,496 144,992 289,984 579,968 1,159,936

Collatz Trajectory (72 steps to reach 1)

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

1,159,936 579,968 289,984 144,992 72,496 36,248 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35

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