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Atlas › Integer Profiles › Node 4,381,695

4,381,695

34 × 5 × 31 × 349
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 5 × 31 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,131,200
Proper Divisor Sum 3,749,505
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4381693 ← → #4381703

Radix Representation

Decimal 4381695
Binary 10000101101101111111111 (23 bits)
Octal 0o20555777
Hexadecimal 0x42DBFF

Divisor Catalog (40)

1 3 5 9 15 27 31 45 81 93 135 155 279 349 405 465 837 1,047 1,395 1,745 2,511 3,141 4,185 5,235 9,423 10,819 12,555 15,705 28,269 32,457 47,115 54,095 97,371 141,345 162,285 292,113 486,855 876,339 1,460,565 4,381,695

Collatz Trajectory (172 steps to reach 1)

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

4,381,695 13,145,086 6,572,543 19,717,630 9,858,815 29,576,446 14,788,223 44,364,670 22,182,335 66,547,006 33,273,503 99,820,510 49,910,255 149,730,766 74,865,383 224,596,150 112,298,075 336,894,226 168,447,113 505,341,340 252,670,670 126,335,335 379,006,006 189,503,003 568,509,010 284,254,505 852,763,516 426,381,758 213,190,879 639,572,638 319,786,319 959,358,958 479,679,479 1,439,038,438 719,519,219 2,158,557,658 1,079,278,829 3,237,836,488 1,618,918,244 809,459,122 404,729,561 1,214,188,684 607,094,342 303,547,171 910,641,514 455,320,757 1,365,962,272 682,981,136 341,490,568 170,745,284 85,372,642 42,686,321 128,058,964 64,029,482 32,014,741 96,044,224 48,022,112 24,011,056 12,005,528 6,002,764

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