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Atlas › Integer Profiles › Node 35,490,076

35,490,076

22 × 47 × 311 × 607
Deficient Even Composite

35,490,076 factors as 2^2 × 47 × 311 × 607. Its 24 positive divisors give a proper-divisor sum of 28,247,780, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^2 × 47 × 311 × 607
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 63,737,856
Proper Divisor Sum 28,247,780
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #35490061 ← → #35490089

Radix Representation

Decimal 35490076
Binary 10000111011000100100011100 (26 bits)
Octal 0o207304434
Hexadecimal 0x21D891C

Divisor Catalog (24)

1 2 4 47 94 188 311 607 622 1,214 1,244 2,428 14,617 28,529 29,234 57,058 58,468 114,116 188,777 377,554 755,108 8,872,519 17,745,038 35,490,076

Collatz Trajectory (214 steps to reach 1)

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

35,490,076 17,745,038 8,872,519 26,617,558 13,308,779 39,926,338 19,963,169 59,889,508 29,944,754 14,972,377 44,917,132 22,458,566 11,229,283 33,687,850 16,843,925 50,531,776 25,265,888 12,632,944 6,316,472 3,158,236 1,579,118 789,559 2,368,678 1,184,339 3,553,018 1,776,509 5,329,528 2,664,764 1,332,382 666,191 1,998,574 999,287 2,997,862 1,498,931 4,496,794 2,248,397 6,745,192 3,372,596 1,686,298 843,149 2,529,448 1,264,724 632,362 316,181 948,544 474,272 237,136 118,568 59,284 29,642 14,821 44,464 22,232 11,116 5,558 2,779 8,338 4,169 12,508 6,254

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