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Atlas › Integer Profiles › Node 2,015,068

2,015,068

22 × 11 × 41 × 1117
Deficient Even Composite

2,015,068 factors as 2^2 × 11 × 41 × 1117. Its 24 positive divisors give a proper-divisor sum of 1,929,236, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 41 × 1117
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,944,304
Proper Divisor Sum 1,929,236
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2015063 ← → #2015071

Radix Representation

Decimal 2015068
Binary 111101011111101011100 (21 bits)
Octal 0o7537534
Hexadecimal 0x1EBF5C

Divisor Catalog (24)

1 2 4 11 22 41 44 82 164 451 902 1,117 1,804 2,234 4,468 12,287 24,574 45,797 49,148 91,594 183,188 503,767 1,007,534 2,015,068

Collatz Trajectory (135 steps to reach 1)

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

2,015,068 1,007,534 503,767 1,511,302 755,651 2,266,954 1,133,477 3,400,432 1,700,216 850,108 425,054 212,527 637,582 318,791 956,374 478,187 1,434,562 717,281 2,151,844 1,075,922 537,961 1,613,884 806,942 403,471 1,210,414 605,207 1,815,622 907,811 2,723,434 1,361,717 4,085,152 2,042,576 1,021,288 510,644 255,322 127,661 382,984 191,492 95,746 47,873 143,620 71,810 35,905 107,716 53,858 26,929 80,788 40,394 20,197 60,592 30,296 15,148 7,574 3,787 11,362 5,681 17,044 8,522 4,261 12,784

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