λ
Sequence Observatory

7,364,926

2 × 503 × 7321
Deficient Even Composite

Starting at 7,364,926, the Collatz iteration reaches 1 after 372 steps. The first transition is 3682463; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 503 × 7321
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,070,864
Proper Divisor Sum 3,705,938
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7364923 ← → #7364939

Radix Representation

Decimal 7364926
Binary 11100000110000100111110 (23 bits)
Octal 0o34060476
Hexadecimal 0x70613E

Divisor Catalog (8)

1 2 503 1,006 7,321 14,642 3,682,463 7,364,926

Collatz Trajectory (372 steps to reach 1)

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

7,364,926 3,682,463 11,047,390 5,523,695 16,571,086 8,285,543 24,856,630 12,428,315 37,284,946 18,642,473 55,927,420 27,963,710 13,981,855 41,945,566 20,972,783 62,918,350 31,459,175 94,377,526 47,188,763 141,566,290 70,783,145 212,349,436 106,174,718 53,087,359 159,262,078 79,631,039 238,893,118 119,446,559 358,339,678 179,169,839 537,509,518 268,754,759 806,264,278 403,132,139 1,209,396,418 604,698,209 1,814,094,628 907,047,314 453,523,657 1,360,570,972 680,285,486 340,142,743 1,020,428,230 510,214,115 1,530,642,346 765,321,173 2,295,963,520 1,147,981,760 573,990,880 286,995,440 143,497,720 71,748,860 35,874,430 17,937,215 53,811,646 26,905,823 80,717,470 40,358,735 121,076,206 60,538,103

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