λ
Harmonic Matrix

2,959,748

22 × 11 × 137 × 491
Deficient Even Composite

2,959,748 has digital root 8. The neighboring primes are 2959739 and 2959753; its proper-divisor sum differs from the starting integer by -216,232.

Prime Factor Structure

Factorization String 2^2 × 11 × 137 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,703,264
Proper Divisor Sum 2,743,516
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #2959739 ← → #2959753

Radix Representation

Decimal 2959748
Binary 1011010010100110000100 (22 bits)
Octal 0o13224604
Hexadecimal 0x2D2984

Divisor Catalog (24)

1 2 4 11 22 44 137 274 491 548 982 1,507 1,964 3,014 5,401 6,028 10,802 21,604 67,267 134,534 269,068 739,937 1,479,874 2,959,748

Collatz Trajectory (169 steps to reach 1)

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

2,959,748 1,479,874 739,937 2,219,812 1,109,906 554,953 1,664,860 832,430 416,215 1,248,646 624,323 1,872,970 936,485 2,809,456 1,404,728 702,364 351,182 175,591 526,774 263,387 790,162 395,081 1,185,244 592,622 296,311 888,934 444,467 1,333,402 666,701 2,000,104 1,000,052 500,026 250,013 750,040 375,020 187,510 93,755 281,266 140,633 421,900 210,950 105,475 316,426 158,213 474,640 237,320 118,660 59,330 29,665 88,996 44,498 22,249 66,748 33,374 16,687 50,062 25,031 75,094 37,547 112,642

More profiles

← Previous Integer #2,959,747 Browse Full Index Next Integer #2,959,749 →