λ
Integer Codex

4,580,731

4580731
Deficient Odd Prime

For 4,580,731, the 2 positive divisors have a total of 4,580,732. Removing 4,580,731 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 4580731
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,580,732
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4580699 ← → #4580743

Radix Representation

Decimal 4580731
Binary 10001011110010101111011 (23 bits)
Octal 0o21362573
Hexadecimal 0x45E57B

Divisor Catalog (2)

Collatz Trajectory (131 steps to reach 1)

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

4,580,731 13,742,194 6,871,097 20,613,292 10,306,646 5,153,323 15,459,970 7,729,985 23,189,956 11,594,978 5,797,489 17,392,468 8,696,234 4,348,117 13,044,352 6,522,176 3,261,088 1,630,544 815,272 407,636 203,818 101,909 305,728 152,864 76,432 38,216 19,108 9,554 4,777 14,332 7,166 3,583 10,750 5,375 16,126 8,063 24,190 12,095 36,286 18,143 54,430 27,215 81,646 40,823 122,470 61,235 183,706 91,853 275,560 137,780 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688 4,844

More profiles

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