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Atlas › Integer Profiles › Node 37,372,155

37,372,155

3 × 5 × 29 × 53 × 1621
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 29 × 53 × 1621
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 63,063,360
Proper Divisor Sum 25,691,205
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #37372141 ← → #37372177

Radix Representation

Decimal 37372155
Binary 10001110100100000011111011 (26 bits)
Octal 0o216440373
Hexadecimal 0x23A40FB

Divisor Catalog (32)

1 3 5 15 29 53 87 145 159 265 435 795 1,537 1,621 4,611 4,863 7,685 8,105 23,055 24,315 47,009 85,913 141,027 235,045 257,739 429,565 705,135 1,288,695 2,491,477 7,474,431 12,457,385 37,372,155

Collatz Trajectory (157 steps to reach 1)

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

37,372,155 112,116,466 56,058,233 168,174,700 84,087,350 42,043,675 126,131,026 63,065,513 189,196,540 94,598,270 47,299,135 141,897,406 70,948,703 212,846,110 106,423,055 319,269,166 159,634,583 478,903,750 239,451,875 718,355,626 359,177,813 1,077,533,440 538,766,720 269,383,360 134,691,680 67,345,840 33,672,920 16,836,460 8,418,230 4,209,115 12,627,346 6,313,673 18,941,020 9,470,510 4,735,255 14,205,766 7,102,883 21,308,650 10,654,325 31,962,976 15,981,488 7,990,744 3,995,372 1,997,686 998,843 2,996,530 1,498,265 4,494,796 2,247,398 1,123,699 3,371,098 1,685,549 5,056,648 2,528,324 1,264,162 632,081 1,896,244 948,122 474,061 1,422,184

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