λ
Harmonic Matrix

1,018,825

52 × 83 × 491
Deficient Odd Composite

1,018,825 has digital root 7. The neighboring primes are 1018817 and 1018859; its proper-divisor sum differs from the starting integer by -756,482.

Prime Factor Structure

Factorization String 5^2 × 83 × 491
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,281,168
Proper Divisor Sum 262,343
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1018817 ← → #1018859

Radix Representation

Decimal 1018825
Binary 11111000101111001001 (20 bits)
Octal 0o3705711
Hexadecimal 0xF8BC9

Divisor Catalog (12)

1 5 25 83 415 491 2,075 2,455 12,275 40,753 203,765 1,018,825

Collatz Trajectory (108 steps to reach 1)

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

1,018,825 3,056,476 1,528,238 764,119 2,292,358 1,146,179 3,438,538 1,719,269 5,157,808 2,578,904 1,289,452 644,726 322,363 967,090 483,545 1,450,636 725,318 362,659 1,087,978 543,989 1,631,968 815,984 407,992 203,996 101,998 50,999 152,998 76,499 229,498 114,749 344,248 172,124 86,062 43,031 129,094 64,547 193,642 96,821 290,464 145,232 72,616 36,308 18,154 9,077 27,232 13,616 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079

More profiles

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