λ
Harmonic Matrix

1,339,216

24 × 83701
Deficient Even Composite

1,339,216 has digital root 7. The neighboring primes are 1339211 and 1339223; its proper-divisor sum differs from the starting integer by -83,670.

Prime Factor Structure

Factorization String 2^4 × 83701
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 2,594,762
Proper Divisor Sum 1,255,546
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1339211 ← → #1339223

Radix Representation

Decimal 1339216
Binary 101000110111101010000 (21 bits)
Octal 0o5067520
Hexadecimal 0x146F50

Divisor Catalog (10)

1 2 4 8 16 83,701 167,402 334,804 669,608 1,339,216

Collatz Trajectory (137 steps to reach 1)

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

1,339,216 669,608 334,804 167,402 83,701 251,104 125,552 62,776 31,388 15,694 7,847 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504

More profiles

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