1,107,742

2 × 29 × 71 × 269

Starting at 1,107,742, the Collatz iteration reaches 1 after 178 steps. The first transition is 553871; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 29 × 71 × 269

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,749,600

Proper Divisor Sum 641,858

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1107727 ← → #1107751

Radix Representation

Decimal	1107742
Binary	100001110011100011110 (21 bits)
Octal	0o4163436
Hexadecimal	0x10E71E

Divisor Catalog (16)

1 2 29 58 71 142 269 538 2,059 4,118 7,801 15,602 19,099 38,198 553,871 1,107,742

Collatz Trajectory (178 steps to reach 1)

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

1,107,742 553,871 1,661,614 830,807 2,492,422 1,246,211 3,738,634 1,869,317 5,607,952 2,803,976 1,401,988 700,994 350,497 1,051,492 525,746 262,873 788,620 394,310 197,155 591,466 295,733 887,200 443,600 221,800 110,900 55,450 27,725 83,176 41,588 20,794 10,397 31,192 15,596 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174

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