λ
Harmonic Matrix

8,232,169

11 × 748379
Deficient Odd Composite

8,232,169 has digital root 4. The neighboring primes are 8232151 and 8232179; its proper-divisor sum differs from the starting integer by -7,483,778.

Prime Factor Structure

Factorization String 11 × 748379
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,980,560
Proper Divisor Sum 748,391
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8232151 ← → #8232179

Radix Representation

Decimal 8232169
Binary 11111011001110011101001 (23 bits)
Octal 0o37316351
Hexadecimal 0x7D9CE9

Divisor Catalog (4)

1 11 748,379 8,232,169

Collatz Trajectory (137 steps to reach 1)

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

8,232,169 24,696,508 12,348,254 6,174,127 18,522,382 9,261,191 27,783,574 13,891,787 41,675,362 20,837,681 62,513,044 31,256,522 15,628,261 46,884,784 23,442,392 11,721,196 5,860,598 2,930,299 8,790,898 4,395,449 13,186,348 6,593,174 3,296,587 9,889,762 4,944,881 14,834,644 7,417,322 3,708,661 11,125,984 5,562,992 2,781,496 1,390,748 695,374 347,687 1,043,062 521,531 1,564,594 782,297 2,346,892 1,173,446 586,723 1,760,170 880,085 2,640,256 1,320,128 660,064 330,032 165,016 82,508 41,254 20,627 61,882 30,941 92,824 46,412 23,206 11,603 34,810 17,405 52,216

More profiles

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