λ
Integer Codex

4,648,639

4648639
Deficient Odd Prime

For 4,648,639, the 2 positive divisors have a total of 4,648,640. Removing 4,648,639 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 4648639
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,648,640
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4648619 ← → #4648663

Radix Representation

Decimal 4648639
Binary 10001101110111010111111 (23 bits)
Octal 0o21567277
Hexadecimal 0x46EEBF

Divisor Catalog (2)

Collatz Trajectory (162 steps to reach 1)

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

4,648,639 13,945,918 6,972,959 20,918,878 10,459,439 31,378,318 15,689,159 47,067,478 23,533,739 70,601,218 35,300,609 105,901,828 52,950,914 26,475,457 79,426,372 39,713,186 19,856,593 59,569,780 29,784,890 14,892,445 44,677,336 22,338,668 11,169,334 5,584,667 16,754,002 8,377,001 25,131,004 12,565,502 6,282,751 18,848,254 9,424,127 28,272,382 14,136,191 42,408,574 21,204,287 63,612,862 31,806,431 95,419,294 47,709,647 143,128,942 71,564,471 214,693,414 107,346,707 322,040,122 161,020,061 483,060,184 241,530,092 120,765,046 60,382,523 181,147,570 90,573,785 271,721,356 135,860,678 67,930,339 203,791,018 101,895,509 305,686,528 152,843,264 76,421,632 38,210,816

More profiles

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