λ
Integer Codex

3,681,319

3681319
Deficient Odd Prime

For 3,681,319, the 2 positive divisors have a total of 3,681,320. Removing 3,681,319 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 3681319
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,681,320
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3681287 ← → #3681341

Radix Representation

Decimal 3681319
Binary 1110000010110000100111 (22 bits)
Octal 0o16026047
Hexadecimal 0x382C27

Divisor Catalog (2)

Collatz Trajectory (190 steps to reach 1)

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

3,681,319 11,043,958 5,521,979 16,565,938 8,282,969 24,848,908 12,424,454 6,212,227 18,636,682 9,318,341 27,955,024 13,977,512 6,988,756 3,494,378 1,747,189 5,241,568 2,620,784 1,310,392 655,196 327,598 163,799 491,398 245,699 737,098 368,549 1,105,648 552,824 276,412 138,206 69,103 207,310 103,655 310,966 155,483 466,450 233,225 699,676 349,838 174,919 524,758 262,379 787,138 393,569 1,180,708 590,354 295,177 885,532 442,766 221,383 664,150 332,075 996,226 498,113 1,494,340 747,170 373,585 1,120,756 560,378 280,189 840,568

More profiles

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