λ
Integer Codex

5,320,309

5320309
Deficient Odd Prime

For 5,320,309, the 2 positive divisors have a total of 5,320,310. Removing 5,320,309 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 5320309
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 5,320,310
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5320307 ← → #5320319

Radix Representation

Decimal 5320309
Binary 10100010010111001110101 (23 bits)
Octal 0o24227165
Hexadecimal 0x512E75

Divisor Catalog (2)

Collatz Trajectory (118 steps to reach 1)

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

5,320,309 15,960,928 7,980,464 3,990,232 1,995,116 997,558 498,779 1,496,338 748,169 2,244,508 1,122,254 561,127 1,683,382 841,691 2,525,074 1,262,537 3,787,612 1,893,806 946,903 2,840,710 1,420,355 4,261,066 2,130,533 6,391,600 3,195,800 1,597,900 798,950 399,475 1,198,426 599,213 1,797,640 898,820 449,410 224,705 674,116 337,058 168,529 505,588 252,794 126,397 379,192 189,596 94,798 47,399 142,198 71,099 213,298 106,649 319,948 159,974 79,987 239,962 119,981 359,944 179,972 89,986 44,993 134,980 67,490 33,745

More profiles

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