λ
Harmonic Matrix

2,441,151

33 × 23 × 3931
Deficient Odd Composite

2,441,151 has digital root 9. The neighboring primes are 2441143 and 2441161; its proper-divisor sum differs from the starting integer by -1,107,582.

Prime Factor Structure

Factorization String 3^3 × 23 × 3931
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,774,720
Proper Divisor Sum 1,333,569
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2441143 ← → #2441161

Radix Representation

Decimal 2441151
Binary 1001010011111110111111 (22 bits)
Octal 0o11237677
Hexadecimal 0x253FBF

Divisor Catalog (16)

1 3 9 23 27 69 207 621 3,931 11,793 35,379 90,413 106,137 271,239 813,717 2,441,151

Collatz Trajectory (174 steps to reach 1)

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

2,441,151 7,323,454 3,661,727 10,985,182 5,492,591 16,477,774 8,238,887 24,716,662 12,358,331 37,074,994 18,537,497 55,612,492 27,806,246 13,903,123 41,709,370 20,854,685 62,564,056 31,282,028 15,641,014 7,820,507 23,461,522 11,730,761 35,192,284 17,596,142 8,798,071 26,394,214 13,197,107 39,591,322 19,795,661 59,386,984 29,693,492 14,846,746 7,423,373 22,270,120 11,135,060 5,567,530 2,783,765 8,351,296 4,175,648 2,087,824 1,043,912 521,956 260,978 130,489 391,468 195,734 97,867 293,602 146,801 440,404 220,202 110,101 330,304 165,152 82,576 41,288 20,644 10,322 5,161 15,484

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