λ
Harmonic Matrix

1,225,184

25 × 38287
Deficient Even Composite

1,225,184 has digital root 5. The neighboring primes are 1225183 and 1225219; its proper-divisor sum differs from the starting integer by -38,224.

Prime Factor Structure

Factorization String 2^5 × 38287
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,412,144
Proper Divisor Sum 1,186,960
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1225183 ← → #1225219

Radix Representation

Decimal 1225184
Binary 100101011000111100000 (21 bits)
Octal 0o4530740
Hexadecimal 0x12B1E0

Divisor Catalog (12)

1 2 4 8 16 32 38,287 76,574 153,148 306,296 612,592 1,225,184

Collatz Trajectory (204 steps to reach 1)

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

1,225,184 612,592 306,296 153,148 76,574 38,287 114,862 57,431 172,294 86,147 258,442 129,221 387,664 193,832 96,916 48,458 24,229 72,688 36,344 18,172 9,086 4,543 13,630 6,815 20,446 10,223 30,670 15,335 46,006 23,003 69,010 34,505 103,516 51,758 25,879 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836 10,918 5,459 16,378 8,189 24,568 12,284 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654

More profiles

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