λ
Integer Codex

2,912,839

2912839
Deficient Odd Prime

For 2,912,839, the 2 positive divisors have a total of 2,912,840. Removing 2,912,839 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 2912839
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,912,840
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #2912803 ← → #2912849

Radix Representation

Decimal 2912839
Binary 1011000111001001000111 (22 bits)
Octal 0o13071107
Hexadecimal 0x2C7247

Divisor Catalog (2)

1 2,912,839

Collatz Trajectory (213 steps to reach 1)

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

2,912,839 8,738,518 4,369,259 13,107,778 6,553,889 19,661,668 9,830,834 4,915,417 14,746,252 7,373,126 3,686,563 11,059,690 5,529,845 16,589,536 8,294,768 4,147,384 2,073,692 1,036,846 518,423 1,555,270 777,635 2,332,906 1,166,453 3,499,360 1,749,680 874,840 437,420 218,710 109,355 328,066 164,033 492,100 246,050 123,025 369,076 184,538 92,269 276,808 138,404 69,202 34,601 103,804 51,902 25,951 77,854 38,927 116,782 58,391 175,174 87,587 262,762 131,381 394,144 197,072 98,536 49,268 24,634 12,317 36,952 18,476

More profiles

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