λ
Harmonic Matrix

2,629,784

23 × 271 × 1213
Deficient Even Composite

2,629,784 has digital root 2. The neighboring primes are 2629777 and 2629787; its proper-divisor sum differs from the starting integer by -306,448.

Prime Factor Structure

Factorization String 2^3 × 271 × 1213
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,953,120
Proper Divisor Sum 2,323,336
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2629777 ← → #2629787

Radix Representation

Decimal 2629784
Binary 1010000010000010011000 (22 bits)
Octal 0o12020230
Hexadecimal 0x282098

Divisor Catalog (16)

1 2 4 8 271 542 1,084 1,213 2,168 2,426 4,852 9,704 328,723 657,446 1,314,892 2,629,784

Collatz Trajectory (143 steps to reach 1)

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

2,629,784 1,314,892 657,446 328,723 986,170 493,085 1,479,256 739,628 369,814 184,907 554,722 277,361 832,084 416,042 208,021 624,064 312,032 156,016 78,008 39,004 19,502 9,751 29,254 14,627 43,882 21,941 65,824 32,912 16,456 8,228 4,114 2,057 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466

More profiles

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