λ
Sequence Observatory

5,688,637

2141 × 2657
Deficient Odd Composite

Starting at 5,688,637, the Collatz iteration reaches 1 after 100 steps. The first transition is 17065912; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 2141 × 2657
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,693,436
Proper Divisor Sum 4,799
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #5688607 ← → #5688653

Radix Representation

Decimal 5688637
Binary 10101101100110100111101 (23 bits)
Octal 0o25546475
Hexadecimal 0x56CD3D

Divisor Catalog (4)

1 2,141 2,657 5,688,637

Collatz Trajectory (100 steps to reach 1)

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

5,688,637 17,065,912 8,532,956 4,266,478 2,133,239 6,399,718 3,199,859 9,599,578 4,799,789 14,399,368 7,199,684 3,599,842 1,799,921 5,399,764 2,699,882 1,349,941 4,049,824 2,024,912 1,012,456 506,228 253,114 126,557 379,672 189,836 94,918 47,459 142,378 71,189 213,568 106,784 53,392 26,696 13,348 6,674 3,337 10,012 5,006 2,503 7,510 3,755 11,266 5,633 16,900 8,450 4,225 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020

More profiles

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