λ
Integer Codex

7,315,013

7315013
Deficient Odd Prime

For 7,315,013, the 2 positive divisors have a total of 7,315,014. Removing 7,315,013 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 7315013
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,315,014
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #7315003 ← → #7315027

Radix Representation

Decimal 7315013
Binary 11011111001111001000101 (23 bits)
Octal 0o33717105
Hexadecimal 0x6F9E45

Divisor Catalog (2)

Collatz Trajectory (111 steps to reach 1)

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

7,315,013 21,945,040 10,972,520 5,486,260 2,743,130 1,371,565 4,114,696 2,057,348 1,028,674 514,337 1,543,012 771,506 385,753 1,157,260 578,630 289,315 867,946 433,973 1,301,920 650,960 325,480 162,740 81,370 40,685 122,056 61,028 30,514 15,257 45,772 22,886 11,443 34,330 17,165 51,496 25,748 12,874 6,437 19,312 9,656 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291

More profiles

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