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Atlas › Integer Profiles › Node 2,015,064

2,015,064

23 × 33 × 19 × 491
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 19 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,904,000
Proper Divisor Sum 3,888,936
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2015063 ← → #2015071

Radix Representation

Decimal 2015064
Binary 111101011111101011000 (21 bits)
Octal 0o7537530
Hexadecimal 0x1EBF58

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 491 513 684 982 1,026 1,368 1,473 1,964 2,052 2,946 3,928 4,104 4,419 5,892 8,838 9,329 11,784 13,257 17,676 18,658 26,514 27,987 35,352 37,316 53,028 55,974 74,632 83,961 106,056 111,948 167,922 223,896 251,883 335,844

Collatz Trajectory (135 steps to reach 1)

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

2,015,064 1,007,532 503,766 251,883 755,650 377,825 1,133,476 566,738 283,369 850,108 425,054 212,527 637,582 318,791 956,374 478,187 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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