λ
Harmonic Matrix

1,631,501

409 × 3989
Deficient Odd Composite

1,631,501 has digital root 8. The neighboring primes are 1631491 and 1631503; its proper-divisor sum differs from the starting integer by -1,627,102.

Prime Factor Structure

Factorization String 409 × 3989
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,635,900
Proper Divisor Sum 4,399
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1631491 ← → #1631503

Radix Representation

Decimal 1631501
Binary 110001110010100001101 (21 bits)
Octal 0o6162415
Hexadecimal 0x18E50D

Divisor Catalog (4)

1 409 3,989 1,631,501

Collatz Trajectory (207 steps to reach 1)

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

1,631,501 4,894,504 2,447,252 1,223,626 611,813 1,835,440 917,720 458,860 229,430 114,715 344,146 172,073 516,220 258,110 129,055 387,166 193,583 580,750 290,375 871,126 435,563 1,306,690 653,345 1,960,036 980,018 490,009 1,470,028 735,014 367,507 1,102,522 551,261 1,653,784 826,892 413,446 206,723 620,170 310,085 930,256 465,128 232,564 116,282 58,141 174,424 87,212 43,606 21,803 65,410 32,705 98,116 49,058 24,529 73,588 36,794 18,397 55,192 27,596 13,798 6,899 20,698 10,349

More profiles

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