λ
Integer Codex

272,351

272351
Deficient Odd Prime

For 272,351, the 2 positive divisors have a total of 272,352. Removing 272,351 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 272351
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 272,352
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #272347 ← → #272353

Radix Representation

Decimal 272351
Binary 1000010011111011111 (19 bits)
Octal 0o1023737
Hexadecimal 0x427DF

Divisor Catalog (2)

Collatz Trajectory (88 steps to reach 1)

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

272,351 817,054 408,527 1,225,582 612,791 1,838,374 919,187 2,757,562 1,378,781 4,136,344 2,068,172 1,034,086 517,043 1,551,130 775,565 2,326,696 1,163,348 581,674 290,837 872,512 436,256 218,128 109,064 54,532 27,266 13,633 40,900 20,450 10,225 30,676 15,338 7,669 23,008 11,504 5,752 2,876 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732

More profiles

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