λ
Harmonic Matrix

48,623

48623
Deficient Odd Prime

48,623 has digital root 5. The neighboring primes are 48619 and 48647; its proper-divisor sum differs from the starting integer by -48,622.

Prime Factor Structure

Factorization String 48623
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 48,624
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #48619 ← → #48647

Radix Representation

Decimal 48623
Binary 1011110111101111 (16 bits)
Octal 0o136757
Hexadecimal 0xBDEF

Divisor Catalog (2)

1 48,623

Collatz Trajectory (264 steps to reach 1)

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

48,623 145,870 72,935 218,806 109,403 328,210 164,105 492,316 246,158 123,079 369,238 184,619 553,858 276,929 830,788 415,394 207,697 623,092 311,546 155,773 467,320 233,660 116,830 58,415 175,246 87,623 262,870 131,435 394,306 197,153 591,460 295,730 147,865 443,596 221,798 110,899 332,698 166,349 499,048 249,524 124,762 62,381 187,144 93,572 46,786 23,393 70,180 35,090 17,545 52,636 26,318 13,159 39,478 19,739 59,218 29,609 88,828 44,414 22,207 66,622

More profiles

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