λ
Harmonic Matrix

900,316

22 × 225079
Deficient Even Composite

900,316 has digital root 1. The neighboring primes are 900307 and 900329; its proper-divisor sum differs from the starting integer by -225,072.

Prime Factor Structure

Factorization String 2^2 × 225079
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,575,560
Proper Divisor Sum 675,244
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #900307 ← → #900329

Radix Representation

Decimal 900316
Binary 11011011110011011100 (20 bits)
Octal 0o3336334
Hexadecimal 0xDBCDC

Divisor Catalog (6)

1 2 4 225,079 450,158 900,316

Collatz Trajectory (87 steps to reach 1)

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

900,316 450,158 225,079 675,238 337,619 1,012,858 506,429 1,519,288 759,644 379,822 189,911 569,734 284,867 854,602 427,301 1,281,904 640,952 320,476 160,238 80,119 240,358 120,179 360,538 180,269 540,808 270,404 135,202 67,601 202,804 101,402 50,701 152,104 76,052 38,026 19,013 57,040 28,520 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722

More profiles

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