λ
Harmonic Matrix

1,617,249

3 × 59 × 9137
Deficient Odd Composite

1,617,249 has digital root 3. The neighboring primes are 1617247 and 1617251; its proper-divisor sum differs from the starting integer by -1,041,378.

Prime Factor Structure

Factorization String 3 × 59 × 9137
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,193,120
Proper Divisor Sum 575,871
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1617247 ← → #1617251

Radix Representation

Decimal 1617249
Binary 110001010110101100001 (21 bits)
Octal 0o6126541
Hexadecimal 0x18AD61

Divisor Catalog (8)

1 3 59 177 9,137 27,411 539,083 1,617,249

Collatz Trajectory (101 steps to reach 1)

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

1,617,249 4,851,748 2,425,874 1,212,937 3,638,812 1,819,406 909,703 2,729,110 1,364,555 4,093,666 2,046,833 6,140,500 3,070,250 1,535,125 4,605,376 2,302,688 1,151,344 575,672 287,836 143,918 71,959 215,878 107,939 323,818 161,909 485,728 242,864 121,432 60,716 30,358 15,179 45,538 22,769 68,308 34,154 17,077 51,232 25,616 12,808 6,404 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287

More profiles

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