λ
Harmonic Matrix

2,959,431

3 × 986477
Deficient Odd Composite

2,959,431 has digital root 6. The neighboring primes are 2959427 and 2959447; its proper-divisor sum differs from the starting integer by -1,972,950.

Prime Factor Structure

Factorization String 3 × 986477
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,945,912
Proper Divisor Sum 986,481
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2959427 ← → #2959447

Radix Representation

Decimal 2959431
Binary 1011010010100001000111 (22 bits)
Octal 0o13224107
Hexadecimal 0x2D2847

Divisor Catalog (4)

1 3 986,477 2,959,431

Collatz Trajectory (182 steps to reach 1)

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

2,959,431 8,878,294 4,439,147 13,317,442 6,658,721 19,976,164 9,988,082 4,994,041 14,982,124 7,491,062 3,745,531 11,236,594 5,618,297 16,854,892 8,427,446 4,213,723 12,641,170 6,320,585 18,961,756 9,480,878 4,740,439 14,221,318 7,110,659 21,331,978 10,665,989 31,997,968 15,998,984 7,999,492 3,999,746 1,999,873 5,999,620 2,999,810 1,499,905 4,499,716 2,249,858 1,124,929 3,374,788 1,687,394 843,697 2,531,092 1,265,546 632,773 1,898,320 949,160 474,580 237,290 118,645 355,936 177,968 88,984 44,492 22,246 11,123 33,370 16,685 50,056 25,028 12,514 6,257 18,772

More profiles

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