7,081,506

2 × 3⁷ × 1619

Starting at 7,081,506, the Collatz iteration reaches 1 after 129 steps. The first transition is 3540753; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^7 × 1619

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,940,800

Proper Divisor Sum 8,859,294

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7081499 ← → #7081553

Radix Representation

Decimal	7081506
Binary	11011000000111000100010 (23 bits)
Octal	0o33007042
Hexadecimal	0x6C0E22

Divisor Catalog (32)

1 2 3 6 9 18 27 54 81 162 243 486 729 1,458 1,619 2,187 3,238 4,374 4,857 9,714 14,571 29,142 43,713 87,426 131,139 262,278 393,417 786,834 1,180,251 2,360,502 3,540,753 7,081,506

Collatz Trajectory (129 steps to reach 1)

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

7,081,506 3,540,753 10,622,260 5,311,130 2,655,565 7,966,696 3,983,348 1,991,674 995,837 2,987,512 1,493,756 746,878 373,439 1,120,318 560,159 1,680,478 840,239 2,520,718 1,260,359 3,781,078 1,890,539 5,671,618 2,835,809 8,507,428 4,253,714 2,126,857 6,380,572 3,190,286 1,595,143 4,785,430 2,392,715 7,178,146 3,589,073 10,767,220 5,383,610 2,691,805 8,075,416 4,037,708 2,018,854 1,009,427 3,028,282 1,514,141 4,542,424 2,271,212 1,135,606 567,803 1,703,410 851,705 2,555,116 1,277,558 638,779 1,916,338 958,169 2,874,508 1,437,254 718,627 2,155,882 1,077,941 3,233,824 1,616,912

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