λ
Integer Codex

4,709,251

4709251
Deficient Odd Prime

For 4,709,251, the 2 positive divisors have a total of 4,709,252. Removing 4,709,251 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 4709251
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,709,252
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4709239 ← → #4709267

Radix Representation

Decimal 4709251
Binary 10001111101101110000011 (23 bits)
Octal 0o21755603
Hexadecimal 0x47DB83

Divisor Catalog (2)

Collatz Trajectory (131 steps to reach 1)

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

4,709,251 14,127,754 7,063,877 21,191,632 10,595,816 5,297,908 2,648,954 1,324,477 3,973,432 1,986,716 993,358 496,679 1,490,038 745,019 2,235,058 1,117,529 3,352,588 1,676,294 838,147 2,514,442 1,257,221 3,771,664 1,885,832 942,916 471,458 235,729 707,188 353,594 176,797 530,392 265,196 132,598 66,299 198,898 99,449 298,348 149,174 74,587 223,762 111,881 335,644 167,822 83,911 251,734 125,867 377,602 188,801 566,404 283,202 141,601 424,804 212,402 106,201 318,604 159,302 79,651 238,954 119,477 358,432 179,216

More profiles

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