1,295,140

2² × 5 × 7 × 11 × 29²

Starting at 1,295,140, the Collatz iteration reaches 1 after 186 steps. The first transition is 647570; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 11 × 29^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 3,511,872

Proper Divisor Sum 2,216,732

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1295137 ← → #1295159

Radix Representation

Decimal	1295140
Binary	100111100001100100100 (21 bits)
Octal	0o4741444
Hexadecimal	0x13C324

Divisor Catalog (60 of 72)

1 2 4 5 7 10 11 14 20 22 28 29 35 44 55 58 70 77 110 116 140 145 154 203 220 290 308 319 385 406 580 638 770 812 841 1,015 1,276 1,540 1,595 1,682 2,030 2,233 3,190 3,364 4,060 4,205 4,466 5,887 6,380 8,410 8,932 9,251 11,165 11,774 16,820 18,502 22,330 23,548 29,435 37,004

Collatz Trajectory (186 steps to reach 1)

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

1,295,140 647,570 323,785 971,356 485,678 242,839 728,518 364,259 1,092,778 546,389 1,639,168 819,584 409,792 204,896 102,448 51,224 25,612 12,806 6,403 19,210 9,605 28,816 14,408 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372

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