λ
Harmonic Matrix

2,614,594

2 × 23 × 113 × 503
Deficient Even Composite

2,614,594 has digital root 4. The neighboring primes are 2614567 and 2614607; its proper-divisor sum differs from the starting integer by -1,092,356.

Prime Factor Structure

Factorization String 2 × 23 × 113 × 503
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,136,832
Proper Divisor Sum 1,522,238
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2614567 ← → #2614607

Radix Representation

Decimal 2614594
Binary 1001111110010101000010 (22 bits)
Octal 0o11762502
Hexadecimal 0x27E542

Divisor Catalog (16)

1 2 23 46 113 226 503 1,006 2,599 5,198 11,569 23,138 56,839 113,678 1,307,297 2,614,594

Collatz Trajectory (187 steps to reach 1)

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

2,614,594 1,307,297 3,921,892 1,960,946 980,473 2,941,420 1,470,710 735,355 2,206,066 1,103,033 3,309,100 1,654,550 827,275 2,481,826 1,240,913 3,722,740 1,861,370 930,685 2,792,056 1,396,028 698,014 349,007 1,047,022 523,511 1,570,534 785,267 2,355,802 1,177,901 3,533,704 1,766,852 883,426 441,713 1,325,140 662,570 331,285 993,856 496,928 248,464 124,232 62,116 31,058 15,529 46,588 23,294 11,647 34,942 17,471 52,414 26,207 78,622 39,311 117,934 58,967 176,902 88,451 265,354 132,677 398,032 199,016 99,508

More profiles

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