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Atlas › Integer Profiles › Node 3,347,487

3,347,487

34 × 11 × 13 × 172
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 11 × 13 × 17^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 6,240,696
Proper Divisor Sum 2,893,209
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3347471 ← → #3347503

Radix Representation

Decimal 3347487
Binary 1100110001010000011111 (22 bits)
Octal 0o14612037
Hexadecimal 0x33141F

Divisor Catalog (60)

1 3 9 11 13 17 27 33 39 51 81 99 117 143 153 187 221 289 297 351 429 459 561 663 867 891 1,053 1,287 1,377 1,683 1,989 2,431 2,601 3,179 3,757 3,861 5,049 5,967 7,293 7,803 9,537 11,271 11,583 15,147 17,901 21,879 23,409 28,611 33,813 41,327 65,637 85,833 101,439 123,981 196,911 257,499 304,317 371,943 1,115,829 3,347,487

Collatz Trajectory (252 steps to reach 1)

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

3,347,487 10,042,462 5,021,231 15,063,694 7,531,847 22,595,542 11,297,771 33,893,314 16,946,657 50,839,972 25,419,986 12,709,993 38,129,980 19,064,990 9,532,495 28,597,486 14,298,743 42,896,230 21,448,115 64,344,346 32,172,173 96,516,520 48,258,260 24,129,130 12,064,565 36,193,696 18,096,848 9,048,424 4,524,212 2,262,106 1,131,053 3,393,160 1,696,580 848,290 424,145 1,272,436 636,218 318,109 954,328 477,164 238,582 119,291 357,874 178,937 536,812 268,406 134,203 402,610 201,305 603,916 301,958 150,979 452,938 226,469 679,408 339,704 169,852 84,926 42,463 127,390

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