1,305,675

3² × 5² × 7 × 829

Starting at 1,305,675, the Collatz iteration reaches 1 after 80 steps. The first transition is 3917026; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 7 × 829

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 2,675,920

Proper Divisor Sum 1,370,245

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1305659 ← → #1305679

Radix Representation

Decimal	1305675
Binary	100111110110001001011 (21 bits)
Octal	0o4766113
Hexadecimal	0x13EC4B

Divisor Catalog (36)

1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 829 1,575 2,487 4,145 5,803 7,461 12,435 17,409 20,725 29,015 37,305 52,227 62,175 87,045 145,075 186,525 261,135 435,225 1,305,675

Collatz Trajectory (80 steps to reach 1)

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

1,305,675 3,917,026 1,958,513 5,875,540 2,937,770 1,468,885 4,406,656 2,203,328 1,101,664 550,832 275,416 137,708 68,854 34,427 103,282 51,641 154,924 77,462 38,731 116,194 58,097 174,292 87,146 43,573 130,720 65,360 32,680 16,340 8,170 4,085 12,256 6,128 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232

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