λ
Harmonic Matrix

1,022,956

22 × 11 × 67 × 347
Deficient Even Composite

1,022,956 has digital root 7. The neighboring primes are 1022933 and 1022963; its proper-divisor sum differs from the starting integer by -58,136.

Prime Factor Structure

Factorization String 2^2 × 11 × 67 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,987,776
Proper Divisor Sum 964,820
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1022933 ← → #1022963

Radix Representation

Decimal 1022956
Binary 11111001101111101100 (20 bits)
Octal 0o3715754
Hexadecimal 0xF9BEC

Divisor Catalog (24)

1 2 4 11 22 44 67 134 268 347 694 737 1,388 1,474 2,948 3,817 7,634 15,268 23,249 46,498 92,996 255,739 511,478 1,022,956

Collatz Trajectory (196 steps to reach 1)

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

1,022,956 511,478 255,739 767,218 383,609 1,150,828 575,414 287,707 863,122 431,561 1,294,684 647,342 323,671 971,014 485,507 1,456,522 728,261 2,184,784 1,092,392 546,196 273,098 136,549 409,648 204,824 102,412 51,206 25,603 76,810 38,405 115,216 57,608 28,804 14,402 7,201 21,604 10,802 5,401 16,204 8,102 4,051 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493

More profiles

← Previous Integer #1,022,955 Browse Full Index Next Integer #1,022,957 →