λ
Harmonic Matrix

2,874,741

3 × 29 × 173 × 191
Deficient Odd Composite

2,874,741 has digital root 6. The neighboring primes are 2874737 and 2874743; its proper-divisor sum differs from the starting integer by -1,740,522.

Prime Factor Structure

Factorization String 3 × 29 × 173 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,008,960
Proper Divisor Sum 1,134,219
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2874737 ← → #2874743

Radix Representation

Decimal 2874741
Binary 1010111101110101110101 (22 bits)
Octal 0o12756565
Hexadecimal 0x2BDD75

Divisor Catalog (16)

1 3 29 87 173 191 519 573 5,017 5,539 15,051 16,617 33,043 99,129 958,247 2,874,741

Collatz Trajectory (76 steps to reach 1)

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

2,874,741 8,624,224 4,312,112 2,156,056 1,078,028 539,014 269,507 808,522 404,261 1,212,784 606,392 303,196 151,598 75,799 227,398 113,699 341,098 170,549 511,648 255,824 127,912 63,956 31,978 15,989 47,968 23,984 11,992 5,996 2,998 1,499 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88

More profiles

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