λ
Harmonic Matrix

8,623,327

2371 × 3637
Deficient Odd Composite

8,623,327 has digital root 4. The neighboring primes are 8623319 and 8623339; its proper-divisor sum differs from the starting integer by -8,617,318.

Prime Factor Structure

Factorization String 2371 × 3637
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,629,336
Proper Divisor Sum 6,009
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8623319 ← → #8623339

Radix Representation

Decimal 8623327
Binary 100000111001010011011111 (24 bits)
Octal 0o40712337
Hexadecimal 0x8394DF

Divisor Catalog (4)

1 2,371 3,637 8,623,327

Collatz Trajectory (243 steps to reach 1)

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

8,623,327 25,869,982 12,934,991 38,804,974 19,402,487 58,207,462 29,103,731 87,311,194 43,655,597 130,966,792 65,483,396 32,741,698 16,370,849 49,112,548 24,556,274 12,278,137 36,834,412 18,417,206 9,208,603 27,625,810 13,812,905 41,438,716 20,719,358 10,359,679 31,079,038 15,539,519 46,618,558 23,309,279 69,927,838 34,963,919 104,891,758 52,445,879 157,337,638 78,668,819 236,006,458 118,003,229 354,009,688 177,004,844 88,502,422 44,251,211 132,753,634 66,376,817 199,130,452 99,565,226 49,782,613 149,347,840 74,673,920 37,336,960 18,668,480 9,334,240 4,667,120 2,333,560 1,166,780 583,390 291,695 875,086 437,543 1,312,630 656,315 1,968,946

More profiles

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