λ
Harmonic Matrix

9,296,469

32 × 7 × 13 × 11351
Deficient Odd Composite

9,296,469 has digital root 9. The neighboring primes are 9296437 and 9296489; its proper-divisor sum differs from the starting integer by -2,064,426.

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 11351
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,528,512
Proper Divisor Sum 7,232,043
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9296437 ← → #9296489

Radix Representation

Decimal 9296469
Binary 100011011101101001010101 (24 bits)
Octal 0o43355125
Hexadecimal 0x8DDA55

Divisor Catalog (24)

1 3 7 9 13 21 39 63 91 117 273 819 11,351 34,053 79,457 102,159 147,563 238,371 442,689 715,113 1,032,941 1,328,067 3,098,823 9,296,469

Collatz Trajectory (194 steps to reach 1)

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

9,296,469 27,889,408 13,944,704 6,972,352 3,486,176 1,743,088 871,544 435,772 217,886 108,943 326,830 163,415 490,246 245,123 735,370 367,685 1,103,056 551,528 275,764 137,882 68,941 206,824 103,412 51,706 25,853 77,560 38,780 19,390 9,695 29,086 14,543 43,630 21,815 65,446 32,723 98,170 49,085 147,256 73,628 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595 139,786 69,893 209,680 104,840 52,420 26,210 13,105 39,316 19,658 9,829

More profiles

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