3,275,640

2³ × 3⁵ × 5 × 337

Starting at 3,275,640, the Collatz iteration reaches 1 after 133 steps. The first transition is 1637820; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^5 × 5 × 337

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 11,072,880

Proper Divisor Sum 7,797,240

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3275633 ← → #3275651

Radix Representation

Decimal	3275640
Binary	1100011111101101111000 (22 bits)
Octal	0o14375570
Hexadecimal	0x31FB78

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 337 360 405 486 540 648 674 810 972 1,011 1,080 1,215 1,348 1,620 1,685 1,944 2,022 2,430 2,696 3,033 3,240 3,370 4,044 4,860 5,055 6,066 6,740

Collatz Trajectory (133 steps to reach 1)

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

3,275,640 1,637,820 818,910 409,455 1,228,366 614,183 1,842,550 921,275 2,763,826 1,381,913 4,145,740 2,072,870 1,036,435 3,109,306 1,554,653 4,663,960 2,331,980 1,165,990 582,995 1,748,986 874,493 2,623,480 1,311,740 655,870 327,935 983,806 491,903 1,475,710 737,855 2,213,566 1,106,783 3,320,350 1,660,175 4,980,526 2,490,263 7,470,790 3,735,395 11,206,186 5,603,093 16,809,280 8,404,640 4,202,320 2,101,160 1,050,580 525,290 262,645 787,936 393,968 196,984 98,492 49,246 24,623 73,870 36,935 110,806 55,403 166,210 83,105 249,316 124,658

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