λ
Sequence Observatory

7,379,382

2 × 3 × 1229897
Abundant Even Composite

Starting at 7,379,382, the Collatz iteration reaches 1 after 173 steps. The first transition is 3689691; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 1229897
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,758,776
Proper Divisor Sum 7,379,394
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7379357 ← → #7379387

Radix Representation

Decimal 7379382
Binary 11100001001100110110110 (23 bits)
Octal 0o34114666
Hexadecimal 0x7099B6

Divisor Catalog (8)

1 2 3 6 1,229,897 2,459,794 3,689,691 7,379,382

Collatz Trajectory (173 steps to reach 1)

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

7,379,382 3,689,691 11,069,074 5,534,537 16,603,612 8,301,806 4,150,903 12,452,710 6,226,355 18,679,066 9,339,533 28,018,600 14,009,300 7,004,650 3,502,325 10,506,976 5,253,488 2,626,744 1,313,372 656,686 328,343 985,030 492,515 1,477,546 738,773 2,216,320 1,108,160 554,080 277,040 138,520 69,260 34,630 17,315 51,946 25,973 77,920 38,960 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218

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