λ
Harmonic Matrix

8,333,937

32 × 829 × 1117
Deficient Odd Composite

8,333,937 has digital root 9. The neighboring primes are 8333911 and 8333957; its proper-divisor sum differs from the starting integer by -4,604,654.

Prime Factor Structure

Factorization String 3^2 × 829 × 1117
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,063,220
Proper Divisor Sum 3,729,283
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8333911 ← → #8333957

Radix Representation

Decimal 8333937
Binary 11111110010101001110001 (23 bits)
Octal 0o37625161
Hexadecimal 0x7F2A71

Divisor Catalog (12)

1 3 9 829 1,117 2,487 3,351 7,461 10,053 925,993 2,777,979 8,333,937

Collatz Trajectory (155 steps to reach 1)

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

8,333,937 25,001,812 12,500,906 6,250,453 18,751,360 9,375,680 4,687,840 2,343,920 1,171,960 585,980 292,990 146,495 439,486 219,743 659,230 329,615 988,846 494,423 1,483,270 741,635 2,224,906 1,112,453 3,337,360 1,668,680 834,340 417,170 208,585 625,756 312,878 156,439 469,318 234,659 703,978 351,989 1,055,968 527,984 263,992 131,996 65,998 32,999 98,998 49,499 148,498 74,249 222,748 111,374 55,687 167,062 83,531 250,594 125,297 375,892 187,946 93,973 281,920 140,960 70,480 35,240 17,620 8,810

More profiles

← Previous Integer #8,333,936 Browse Full Index Next Integer #8,333,938 →