λ
Integer Codex

7,473,391

7473391
Deficient Odd Prime

For 7,473,391, the 2 positive divisors have a total of 7,473,392. Removing 7,473,391 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 7473391
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,473,392
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7473383 ← → #7473397

Radix Representation

Decimal 7473391
Binary 11100100000100011101111 (23 bits)
Octal 0o34404357
Hexadecimal 0x7208EF

Divisor Catalog (2)

Collatz Trajectory (279 steps to reach 1)

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

7,473,391 22,420,174 11,210,087 33,630,262 16,815,131 50,445,394 25,222,697 75,668,092 37,834,046 18,917,023 56,751,070 28,375,535 85,126,606 42,563,303 127,689,910 63,844,955 191,534,866 95,767,433 287,302,300 143,651,150 71,825,575 215,476,726 107,738,363 323,215,090 161,607,545 484,822,636 242,411,318 121,205,659 363,616,978 181,808,489 545,425,468 272,712,734 136,356,367 409,069,102 204,534,551 613,603,654 306,801,827 920,405,482 460,202,741 1,380,608,224 690,304,112 345,152,056 172,576,028 86,288,014 43,144,007 129,432,022 64,716,011 194,148,034 97,074,017 291,222,052 145,611,026 72,805,513 218,416,540 109,208,270 54,604,135 163,812,406 81,906,203 245,718,610 122,859,305 368,577,916

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