λ
Harmonic Matrix

900,595

5 × 29 × 6211
Deficient Odd Composite

900,595 has digital root 1. The neighboring primes are 900593 and 900607; its proper-divisor sum differs from the starting integer by -683,030.

Prime Factor Structure

Factorization String 5 × 29 × 6211
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,118,160
Proper Divisor Sum 217,565
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #900593 ← → #900607

Radix Representation

Decimal 900595
Binary 11011011110111110011 (20 bits)
Octal 0o3336763
Hexadecimal 0xDBDF3

Divisor Catalog (8)

1 5 29 145 6,211 31,055 180,119 900,595

Collatz Trajectory (113 steps to reach 1)

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

900,595 2,701,786 1,350,893 4,052,680 2,026,340 1,013,170 506,585 1,519,756 759,878 379,939 1,139,818 569,909 1,709,728 854,864 427,432 213,716 106,858 53,429 160,288 80,144 40,072 20,036 10,018 5,009 15,028 7,514 3,757 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958

More profiles

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