λ
Harmonic Matrix

649,138

2 × 7 × 199 × 233
Deficient Even Composite

649,138 has digital root 4. The neighboring primes are 649123 and 649141; its proper-divisor sum differs from the starting integer by -175,076.

Prime Factor Structure

Factorization String 2 × 7 × 199 × 233
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,123,200
Proper Divisor Sum 474,062
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #649123 ← → #649141

Radix Representation

Decimal 649138
Binary 10011110011110110010 (20 bits)
Octal 0o2363662
Hexadecimal 0x9E7B2

Divisor Catalog (16)

1 2 7 14 199 233 398 466 1,393 1,631 2,786 3,262 46,367 92,734 324,569 649,138

Collatz Trajectory (92 steps to reach 1)

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

649,138 324,569 973,708 486,854 243,427 730,282 365,141 1,095,424 547,712 273,856 136,928 68,464 34,232 17,116 8,558 4,279 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688

More profiles

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