λ
Harmonic Matrix

2,749,327

7 × 392761
Deficient Odd Composite

2,749,327 has digital root 7. The neighboring primes are 2749309 and 2749339; its proper-divisor sum differs from the starting integer by -2,356,558.

Prime Factor Structure

Factorization String 7 × 392761
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,142,096
Proper Divisor Sum 392,769
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2749309 ← → #2749339

Radix Representation

Decimal 2749327
Binary 1010011111001110001111 (22 bits)
Octal 0o12371617
Hexadecimal 0x29F38F

Divisor Catalog (4)

1 7 392,761 2,749,327

Collatz Trajectory (231 steps to reach 1)

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

2,749,327 8,247,982 4,123,991 12,371,974 6,185,987 18,557,962 9,278,981 27,836,944 13,918,472 6,959,236 3,479,618 1,739,809 5,219,428 2,609,714 1,304,857 3,914,572 1,957,286 978,643 2,935,930 1,467,965 4,403,896 2,201,948 1,100,974 550,487 1,651,462 825,731 2,477,194 1,238,597 3,715,792 1,857,896 928,948 464,474 232,237 696,712 348,356 174,178 87,089 261,268 130,634 65,317 195,952 97,976 48,988 24,494 12,247 36,742 18,371 55,114 27,557 82,672 41,336 20,668 10,334 5,167 15,502 7,751 23,254 11,627 34,882 17,441

More profiles

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