λ
Harmonic Matrix

1,249,905

3 × 5 × 103 × 809
Deficient Odd Composite

1,249,905 has digital root 3. The neighboring primes are 1249901 and 1249921; its proper-divisor sum differs from the starting integer by -478,050.

Prime Factor Structure

Factorization String 3 × 5 × 103 × 809
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,021,760
Proper Divisor Sum 771,855
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1249901 ← → #1249921

Radix Representation

Decimal 1249905
Binary 100110001001001110001 (21 bits)
Octal 0o4611161
Hexadecimal 0x131271

Divisor Catalog (16)

1 3 5 15 103 309 515 809 1,545 2,427 4,045 12,135 83,327 249,981 416,635 1,249,905

Collatz Trajectory (173 steps to reach 1)

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

1,249,905 3,749,716 1,874,858 937,429 2,812,288 1,406,144 703,072 351,536 175,768 87,884 43,942 21,971 65,914 32,957 98,872 49,436 24,718 12,359 37,078 18,539 55,618 27,809 83,428 41,714 20,857 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178 37,589 112,768 56,384 28,192 14,096 7,048 3,524 1,762 881 2,644 1,322

More profiles

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