λ
Harmonic Matrix

8,565,721

8565721
Deficient Odd Prime

8,565,721 has digital root 7. The neighboring primes are 8565707 and 8565727; its proper-divisor sum differs from the starting integer by -8,565,720.

Prime Factor Structure

Factorization String 8565721
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,565,722
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8565707 ← → #8565727

Radix Representation

Decimal 8565721
Binary 100000101011001111011001 (24 bits)
Octal 0o40531731
Hexadecimal 0x82B3D9

Divisor Catalog (2)

Collatz Trajectory (124 steps to reach 1)

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

8,565,721 25,697,164 12,848,582 6,424,291 19,272,874 9,636,437 28,909,312 14,454,656 7,227,328 3,613,664 1,806,832 903,416 451,708 225,854 112,927 338,782 169,391 508,174 254,087 762,262 381,131 1,143,394 571,697 1,715,092 857,546 428,773 1,286,320 643,160 321,580 160,790 80,395 241,186 120,593 361,780 180,890 90,445 271,336 135,668 67,834 33,917 101,752 50,876 25,438 12,719 38,158 19,079 57,238 28,619 85,858 42,929 128,788 64,394 32,197 96,592 48,296 24,148 12,074 6,037 18,112 9,056

More profiles

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