λ
Sequence Observatory

4,931,591

7 × 23 × 30631
Deficient Odd Composite

Starting at 4,931,591, the Collatz iteration reaches 1 after 167 steps. The first transition is 14794774; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 23 × 30631
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,881,344
Proper Divisor Sum 949,753
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4931587 ← → #4931593

Radix Representation

Decimal 4931591
Binary 10010110100000000000111 (23 bits)
Octal 0o22640007
Hexadecimal 0x4B4007

Divisor Catalog (8)

1 7 23 161 30,631 214,417 704,513 4,931,591

Collatz Trajectory (167 steps to reach 1)

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

4,931,591 14,794,774 7,397,387 22,192,162 11,096,081 33,288,244 16,644,122 8,322,061 24,966,184 12,483,092 6,241,546 3,120,773 9,362,320 4,681,160 2,340,580 1,170,290 585,145 1,755,436 877,718 438,859 1,316,578 658,289 1,974,868 987,434 493,717 1,481,152 740,576 370,288 185,144 92,572 46,286 23,143 69,430 34,715 104,146 52,073 156,220 78,110 39,055 117,166 58,583 175,750 87,875 263,626 131,813 395,440 197,720 98,860 49,430 24,715 74,146 37,073 111,220 55,610 27,805 83,416 41,708 20,854 10,427 31,282

More profiles

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