λ
Sequence Observatory

9,687,041

7 × 13 × 106451
Deficient Odd Composite

Starting at 9,687,041, the Collatz iteration reaches 1 after 75 steps. The first transition is 29061124; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 106451
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,922,624
Proper Divisor Sum 2,235,583
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9687023 ← → #9687043

Radix Representation

Decimal 9687041
Binary 100100111101000000000001 (24 bits)
Octal 0o44750001
Hexadecimal 0x93D001

Divisor Catalog (8)

1 7 13 91 106,451 745,157 1,383,863 9,687,041

Collatz Trajectory (75 steps to reach 1)

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

9,687,041 29,061,124 14,530,562 7,265,281 21,795,844 10,897,922 5,448,961 16,346,884 8,173,442 4,086,721 12,260,164 6,130,082 3,065,041 9,195,124 4,597,562 2,298,781 6,896,344 3,448,172 1,724,086 862,043 2,586,130 1,293,065 3,879,196 1,939,598 969,799 2,909,398 1,454,699 4,364,098 2,182,049 6,546,148 3,273,074 1,636,537 4,909,612 2,454,806 1,227,403 3,682,210 1,841,105 5,523,316 2,761,658 1,380,829 4,142,488 2,071,244 1,035,622 517,811 1,553,434 776,717 2,330,152 1,165,076 582,538 291,269 873,808 436,904 218,452 109,226 54,613 163,840 81,920 40,960 20,480 10,240

More profiles

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