λ
Prime Ledger

514,313

514313
Deficient Odd Prime

514,313 has the prime decomposition 514313. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 514313
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 514,314
Proper Divisor Sum 1
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #514309 ← → #514333

Radix Representation

Decimal 514313
Binary 1111101100100001001 (19 bits)
Octal 0o1754411
Hexadecimal 0x7D909

Divisor Catalog (2)

Collatz Trajectory (133 steps to reach 1)

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

514,313 1,542,940 771,470 385,735 1,157,206 578,603 1,735,810 867,905 2,603,716 1,301,858 650,929 1,952,788 976,394 488,197 1,464,592 732,296 366,148 183,074 91,537 274,612 137,306 68,653 205,960 102,980 51,490 25,745 77,236 38,618 19,309 57,928 28,964 14,482 7,241 21,724 10,862 5,431 16,294 8,147 24,442 12,221 36,664 18,332 9,166 4,583 13,750 6,875 20,626 10,313 30,940 15,470 7,735 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527 19,582

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