λ
Harmonic Matrix

2,990,336

28 × 11681
Deficient Even Composite

2,990,336 has digital root 5. The neighboring primes are 2990333 and 2990347; its proper-divisor sum differs from the starting integer by -11,170.

Prime Factor Structure

Factorization String 2^8 × 11681
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 5,969,502
Proper Divisor Sum 2,979,166
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2990333 ← → #2990347

Radix Representation

Decimal 2990336
Binary 1011011010000100000000 (22 bits)
Octal 0o13320400
Hexadecimal 0x2DA100

Divisor Catalog (18)

1 2 4 8 16 32 64 128 256 11,681 23,362 46,724 93,448 186,896 373,792 747,584 1,495,168 2,990,336

Collatz Trajectory (76 steps to reach 1)

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

2,990,336 1,495,168 747,584 373,792 186,896 93,448 46,724 23,362 11,681 35,044 17,522 8,761 26,284 13,142 6,571 19,714 9,857 29,572 14,786 7,393 22,180 11,090 5,545 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704 352 176 88

More profiles

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