λ
Harmonic Matrix

1,208,321

227 × 5323
Deficient Odd Composite

1,208,321 has digital root 8. The neighboring primes are 1208303 and 1208341; its proper-divisor sum differs from the starting integer by -1,202,770.

Prime Factor Structure

Factorization String 227 × 5323
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,213,872
Proper Divisor Sum 5,551
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1208303 ← → #1208341

Radix Representation

Decimal 1208321
Binary 100100111000000000001 (21 bits)
Octal 0o4470001
Hexadecimal 0x127001

Divisor Catalog (4)

1 227 5,323 1,208,321

Collatz Trajectory (111 steps to reach 1)

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

1,208,321 3,624,964 1,812,482 906,241 2,718,724 1,359,362 679,681 2,039,044 1,019,522 509,761 1,529,284 764,642 382,321 1,146,964 573,482 286,741 860,224 430,112 215,056 107,528 53,764 26,882 13,441 40,324 20,162 10,081 30,244 15,122 7,561 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346 673 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282

More profiles

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