λ
Harmonic Matrix

9,383,829

3 × 7 × 13 × 37 × 929
Deficient Odd Composite

9,383,829 has digital root 6. The neighboring primes are 9383827 and 9383831; its proper-divisor sum differs from the starting integer by -2,935,338.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 37 × 929
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,832,320
Proper Divisor Sum 6,448,491
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9383827 ← → #9383831

Radix Representation

Decimal 9383829
Binary 100011110010111110010101 (24 bits)
Octal 0o43627625
Hexadecimal 0x8F2F95

Divisor Catalog (32)

1 3 7 13 21 37 39 91 111 259 273 481 777 929 1,443 2,787 3,367 6,503 10,101 12,077 19,509 34,373 36,231 84,539 103,119 240,611 253,617 446,849 721,833 1,340,547 3,127,943 9,383,829

Collatz Trajectory (150 steps to reach 1)

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

9,383,829 28,151,488 14,075,744 7,037,872 3,518,936 1,759,468 879,734 439,867 1,319,602 659,801 1,979,404 989,702 494,851 1,484,554 742,277 2,226,832 1,113,416 556,708 278,354 139,177 417,532 208,766 104,383 313,150 156,575 469,726 234,863 704,590 352,295 1,056,886 528,443 1,585,330 792,665 2,377,996 1,188,998 594,499 1,783,498 891,749 2,675,248 1,337,624 668,812 334,406 167,203 501,610 250,805 752,416 376,208 188,104 94,052 47,026 23,513 70,540 35,270 17,635 52,906 26,453 79,360 39,680 19,840 9,920

More profiles

← Previous Integer #9,383,828 Browse Full Index Next Integer #9,383,830 →