λ
Ratio Atlas

33,732,151

33732151
Deficient Odd Prime

33,732,151 factors as 33732151. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 320 steps.

Prime Factor Structure

Factorization String 33732151
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 33,732,152
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #33732143 ← → #33732173

Radix Representation

Decimal 33732151
Binary 10000000101011011000110111 (26 bits)
Octal 0o200533067
Hexadecimal 0x202B637

Divisor Catalog (2)

Collatz Trajectory (320 steps to reach 1)

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

33,732,151 101,196,454 50,598,227 151,794,682 75,897,341 227,692,024 113,846,012 56,923,006 28,461,503 85,384,510 42,692,255 128,076,766 64,038,383 192,115,150 96,057,575 288,172,726 144,086,363 432,259,090 216,129,545 648,388,636 324,194,318 162,097,159 486,291,478 243,145,739 729,437,218 364,718,609 1,094,155,828 547,077,914 273,538,957 820,616,872 410,308,436 205,154,218 102,577,109 307,731,328 153,865,664 76,932,832 38,466,416 19,233,208 9,616,604 4,808,302 2,404,151 7,212,454 3,606,227 10,818,682 5,409,341 16,228,024 8,114,012 4,057,006 2,028,503 6,085,510 3,042,755 9,128,266 4,564,133 13,692,400 6,846,200 3,423,100 1,711,550 855,775 2,567,326 1,283,663

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