λ
Harmonic Matrix

2,764,507

41 × 67427
Deficient Odd Composite

2,764,507 has digital root 4. The neighboring primes are 2764499 and 2764537; its proper-divisor sum differs from the starting integer by -2,697,038.

Prime Factor Structure

Factorization String 41 × 67427
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,831,976
Proper Divisor Sum 67,469
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2764499 ← → #2764537

Radix Representation

Decimal 2764507
Binary 1010100010111011011011 (22 bits)
Octal 0o12427333
Hexadecimal 0x2A2EDB

Divisor Catalog (4)

1 41 67,427 2,764,507

Collatz Trajectory (187 steps to reach 1)

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

2,764,507 8,293,522 4,146,761 12,440,284 6,220,142 3,110,071 9,330,214 4,665,107 13,995,322 6,997,661 20,992,984 10,496,492 5,248,246 2,624,123 7,872,370 3,936,185 11,808,556 5,904,278 2,952,139 8,856,418 4,428,209 13,284,628 6,642,314 3,321,157 9,963,472 4,981,736 2,490,868 1,245,434 622,717 1,868,152 934,076 467,038 233,519 700,558 350,279 1,050,838 525,419 1,576,258 788,129 2,364,388 1,182,194 591,097 1,773,292 886,646 443,323 1,329,970 664,985 1,994,956 997,478 498,739 1,496,218 748,109 2,244,328 1,122,164 561,082 280,541 841,624 420,812 210,406 105,203

More profiles

← Previous Integer #2,764,506 Browse Full Index Next Integer #2,764,508 →