λ
Harmonic Matrix

1,226,464

25 × 38327
Deficient Even Composite

1,226,464 has digital root 7. The neighboring primes are 1226461 and 1226471; its proper-divisor sum differs from the starting integer by -38,264.

Prime Factor Structure

Factorization String 2^5 × 38327
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,414,664
Proper Divisor Sum 1,188,200
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1226461 ← → #1226471

Radix Representation

Decimal 1226464
Binary 100101011011011100000 (21 bits)
Octal 0o4533340
Hexadecimal 0x12B6E0

Divisor Catalog (12)

1 2 4 8 16 32 38,327 76,654 153,308 306,616 613,232 1,226,464

Collatz Trajectory (160 steps to reach 1)

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

1,226,464 613,232 306,616 153,308 76,654 38,327 114,982 57,491 172,474 86,237 258,712 129,356 64,678 32,339 97,018 48,509 145,528 72,764 36,382 18,191 54,574 27,287 81,862 40,931 122,794 61,397 184,192 92,096 46,048 23,024 11,512 5,756 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786

More profiles

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