λ
Harmonic Matrix

3,272,983

7 × 37 × 12637
Deficient Odd Composite

3,272,983 has digital root 7. The neighboring primes are 3272963 and 3272999; its proper-divisor sum differs from the starting integer by -2,704,014.

Prime Factor Structure

Factorization String 7 × 37 × 12637
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,841,952
Proper Divisor Sum 568,969
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3272963 ← → #3272999

Radix Representation

Decimal 3272983
Binary 1100011111000100010111 (22 bits)
Octal 0o14370427
Hexadecimal 0x31F117

Divisor Catalog (8)

1 7 37 259 12,637 88,459 467,569 3,272,983

Collatz Trajectory (270 steps to reach 1)

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

3,272,983 9,818,950 4,909,475 14,728,426 7,364,213 22,092,640 11,046,320 5,523,160 2,761,580 1,380,790 690,395 2,071,186 1,035,593 3,106,780 1,553,390 776,695 2,330,086 1,165,043 3,495,130 1,747,565 5,242,696 2,621,348 1,310,674 655,337 1,966,012 983,006 491,503 1,474,510 737,255 2,211,766 1,105,883 3,317,650 1,658,825 4,976,476 2,488,238 1,244,119 3,732,358 1,866,179 5,598,538 2,799,269 8,397,808 4,198,904 2,099,452 1,049,726 524,863 1,574,590 787,295 2,361,886 1,180,943 3,542,830 1,771,415 5,314,246 2,657,123 7,971,370 3,985,685 11,957,056 5,978,528 2,989,264 1,494,632 747,316

More profiles

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