λ
Prime Ledger

2,613,713

2613713
Deficient Odd Prime

2,613,713 has the prime decomposition 2613713. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 2613713
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,613,714
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2613707 ← → #2613719

Radix Representation

Decimal 2613713
Binary 1001111110000111010001 (22 bits)
Octal 0o11760721
Hexadecimal 0x27E1D1

Divisor Catalog (2)

Collatz Trajectory (94 steps to reach 1)

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

2,613,713 7,841,140 3,920,570 1,960,285 5,880,856 2,940,428 1,470,214 735,107 2,205,322 1,102,661 3,307,984 1,653,992 826,996 413,498 206,749 620,248 310,124 155,062 77,531 232,594 116,297 348,892 174,446 87,223 261,670 130,835 392,506 196,253 588,760 294,380 147,190 73,595 220,786 110,393 331,180 165,590 82,795 248,386 124,193 372,580 186,290 93,145 279,436 139,718 69,859 209,578 104,789 314,368 157,184 78,592 39,296 19,648 9,824 4,912 2,456 1,228 614 307 922 461

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