9,142,536

2³ × 3 × 13 × 29303

Starting at 9,142,536, the Collatz iteration reaches 1 after 132 steps. The first transition is 4571268; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 29303

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 24,615,360

Proper Divisor Sum 15,472,824

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9142519 ← → #9142543

Radix Representation

Decimal	9142536
Binary	100010111000000100001000 (24 bits)
Octal	0o42700410
Hexadecimal	0x8B8108

Divisor Catalog (32)

1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 29,303 58,606 87,909 117,212 175,818 234,424 351,636 380,939 703,272 761,878 1,142,817 1,523,756 2,285,634 3,047,512 4,571,268 9,142,536

Collatz Trajectory (132 steps to reach 1)

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

9,142,536 4,571,268 2,285,634 1,142,817 3,428,452 1,714,226 857,113 2,571,340 1,285,670 642,835 1,928,506 964,253 2,892,760 1,446,380 723,190 361,595 1,084,786 542,393 1,627,180 813,590 406,795 1,220,386 610,193 1,830,580 915,290 457,645 1,372,936 686,468 343,234 171,617 514,852 257,426 128,713 386,140 193,070 96,535 289,606 144,803 434,410 217,205 651,616 325,808 162,904 81,452 40,726 20,363 61,090 30,545 91,636 45,818 22,909 68,728 34,364 17,182 8,591 25,774 12,887 38,662 19,331 57,994

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