λ
Harmonic Matrix

2,949,445

5 × 29 × 20341
Deficient Odd Composite

2,949,445 has digital root 1. The neighboring primes are 2949421 and 2949461; its proper-divisor sum differs from the starting integer by -2,237,330.

Prime Factor Structure

Factorization String 5 × 29 × 20341
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,661,560
Proper Divisor Sum 712,115
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2949421 ← → #2949461

Radix Representation

Decimal 2949445
Binary 1011010000000101000101 (22 bits)
Octal 0o13200505
Hexadecimal 0x2D0145

Divisor Catalog (8)

1 5 29 145 20,341 101,705 589,889 2,949,445

Collatz Trajectory (244 steps to reach 1)

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

2,949,445 8,848,336 4,424,168 2,212,084 1,106,042 553,021 1,659,064 829,532 414,766 207,383 622,150 311,075 933,226 466,613 1,399,840 699,920 349,960 174,980 87,490 43,745 131,236 65,618 32,809 98,428 49,214 24,607 73,822 36,911 110,734 55,367 166,102 83,051 249,154 124,577 373,732 186,866 93,433 280,300 140,150 70,075 210,226 105,113 315,340 157,670 78,835 236,506 118,253 354,760 177,380 88,690 44,345 133,036 66,518 33,259 99,778 49,889 149,668 74,834 37,417 112,252

More profiles

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