λ
Sequence Observatory

273,457

273457
Deficient Odd Prime

Starting at 273,457, the Collatz iteration reaches 1 after 168 steps. The first transition is 820372; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 273457
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 273,458
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #273433 ← → #273473

Radix Representation

Decimal 273457
Binary 1000010110000110001 (19 bits)
Octal 0o1026061
Hexadecimal 0x42C31

Divisor Catalog (2)

1 273,457

Collatz Trajectory (168 steps to reach 1)

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

273,457 820,372 410,186 205,093 615,280 307,640 153,820 76,910 38,455 115,366 57,683 173,050 86,525 259,576 129,788 64,894 32,447 97,342 48,671 146,014 73,007 219,022 109,511 328,534 164,267 492,802 246,401 739,204 369,602 184,801 554,404 277,202 138,601 415,804 207,902 103,951 311,854 155,927 467,782 233,891 701,674 350,837 1,052,512 526,256 263,128 131,564 65,782 32,891 98,674 49,337 148,012 74,006 37,003 111,010 55,505 166,516 83,258 41,629 124,888 62,444

More profiles

← Previous Integer #273,456 Browse Full Index Next Integer #273,458 →