1,112,264

2³ × 139033

Starting at 1,112,264, the Collatz iteration reaches 1 after 116 steps. The first transition is 556132; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 139033

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,085,510

Proper Divisor Sum 973,246

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #1112239 ← → #1112269

Radix Representation

Decimal	1112264
Binary	100001111100011001000 (21 bits)
Octal	0o4174310
Hexadecimal	0x10F8C8

Divisor Catalog (8)

1 2 4 8 139,033 278,066 556,132 1,112,264

Collatz Trajectory (116 steps to reach 1)

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

1,112,264 556,132 278,066 139,033 417,100 208,550 104,275 312,826 156,413 469,240 234,620 117,310 58,655 175,966 87,983 263,950 131,975 395,926 197,963 593,890 296,945 890,836 445,418 222,709 668,128 334,064 167,032 83,516 41,758 20,879 62,638 31,319 93,958 46,979 140,938 70,469 211,408 105,704 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057

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