λ
Harmonic Matrix

8,689,765

5 × 7 × 31 × 8009
Deficient Odd Composite

8,689,765 has digital root 4. The neighboring primes are 8689753 and 8689777; its proper-divisor sum differs from the starting integer by -5,076,170.

Prime Factor Structure

Factorization String 5 × 7 × 31 × 8009
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,303,360
Proper Divisor Sum 3,613,595
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #8689753 ← → #8689777

Radix Representation

Decimal 8689765
Binary 100001001001100001100101 (24 bits)
Octal 0o41114145
Hexadecimal 0x849865

Divisor Catalog (16)

1 5 7 31 35 155 217 1,085 8,009 40,045 56,063 248,279 280,315 1,241,395 1,737,953 8,689,765

Collatz Trajectory (67 steps to reach 1)

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

8,689,765 26,069,296 13,034,648 6,517,324 3,258,662 1,629,331 4,887,994 2,443,997 7,331,992 3,665,996 1,832,998 916,499 2,749,498 1,374,749 4,124,248 2,062,124 1,031,062 515,531 1,546,594 773,297 2,319,892 1,159,946 579,973 1,739,920 869,960 434,980 217,490 108,745 326,236 163,118 81,559 244,678 122,339 367,018 183,509 550,528 275,264 137,632 68,816 34,408 17,204 8,602 4,301 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256

More profiles

← Previous Integer #8,689,764 Browse Full Index Next Integer #8,689,766 →