λ
Harmonic Matrix

1,631,503

1631503
Deficient Odd Prime

1,631,503 has digital root 1. The neighboring primes are 1631491 and 1631519; its proper-divisor sum differs from the starting integer by -1,631,502.

Prime Factor Structure

Factorization String 1631503
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,631,504
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1631491 ← → #1631519

Radix Representation

Decimal 1631503
Binary 110001110010100001111 (21 bits)
Octal 0o6162417
Hexadecimal 0x18E50F

Divisor Catalog (2)

Collatz Trajectory (114 steps to reach 1)

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

1,631,503 4,894,510 2,447,255 7,341,766 3,670,883 11,012,650 5,506,325 16,518,976 8,259,488 4,129,744 2,064,872 1,032,436 516,218 258,109 774,328 387,164 193,582 96,791 290,374 145,187 435,562 217,781 653,344 326,672 163,336 81,668 40,834 20,417 61,252 30,626 15,313 45,940 22,970 11,485 34,456 17,228 8,614 4,307 12,922 6,461 19,384 9,692 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727

More profiles

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