λ
Harmonic Matrix

8,910,289

8910289
Deficient Odd Prime

8,910,289 has digital root 1. The neighboring primes are 8910283 and 8910301; its proper-divisor sum differs from the starting integer by -8,910,288.

Prime Factor Structure

Factorization String 8910289
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,910,290
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8910283 ← → #8910301

Radix Representation

Decimal 8910289
Binary 100001111111010111010001 (24 bits)
Octal 0o41772721
Hexadecimal 0x87F5D1

Divisor Catalog (2)

Collatz Trajectory (181 steps to reach 1)

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

8,910,289 26,730,868 13,365,434 6,682,717 20,048,152 10,024,076 5,012,038 2,506,019 7,518,058 3,759,029 11,277,088 5,638,544 2,819,272 1,409,636 704,818 352,409 1,057,228 528,614 264,307 792,922 396,461 1,189,384 594,692 297,346 148,673 446,020 223,010 111,505 334,516 167,258 83,629 250,888 125,444 62,722 31,361 94,084 47,042 23,521 70,564 35,282 17,641 52,924 26,462 13,231 39,694 19,847 59,542 29,771 89,314 44,657 133,972 66,986 33,493 100,480 50,240 25,120 12,560 6,280 3,140 1,570

More profiles

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