λ
Sequence Observatory

5,637,691

23 × 31 × 7907
Deficient Odd Composite

Starting at 5,637,691, the Collatz iteration reaches 1 after 152 steps. The first transition is 16913074; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 23 × 31 × 7907
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,073,344
Proper Divisor Sum 435,653
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5637689 ← → #5637707

Radix Representation

Decimal 5637691
Binary 10101100000011000111011 (23 bits)
Octal 0o25403073
Hexadecimal 0x56063B

Divisor Catalog (8)

1 23 31 713 7,907 181,861 245,117 5,637,691

Collatz Trajectory (152 steps to reach 1)

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

5,637,691 16,913,074 8,456,537 25,369,612 12,684,806 6,342,403 19,027,210 9,513,605 28,540,816 14,270,408 7,135,204 3,567,602 1,783,801 5,351,404 2,675,702 1,337,851 4,013,554 2,006,777 6,020,332 3,010,166 1,505,083 4,515,250 2,257,625 6,772,876 3,386,438 1,693,219 5,079,658 2,539,829 7,619,488 3,809,744 1,904,872 952,436 476,218 238,109 714,328 357,164 178,582 89,291 267,874 133,937 401,812 200,906 100,453 301,360 150,680 75,340 37,670 18,835 56,506 28,253 84,760 42,380 21,190 10,595 31,786 15,893 47,680 23,840 11,920 5,960

More profiles

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