λ
Ratio Atlas

32,077,535

5 × 7 × 916501
Deficient Odd Composite

32,077,535 factors as 5 × 7 × 916501. Its 8 positive divisors give a proper-divisor sum of 11,914,561, so this integer is deficient. The Collatz stopping time is 400 steps.

Prime Factor Structure

Factorization String 5 × 7 × 916501
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 43,992,096
Proper Divisor Sum 11,914,561
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #32077519 ← → #32077537

Radix Representation

Decimal 32077535
Binary 1111010010111011011011111 (25 bits)
Octal 0o172273337
Hexadecimal 0x1E976DF

Divisor Catalog (8)

Collatz Trajectory (400 steps to reach 1)

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

32,077,535 96,232,606 48,116,303 144,348,910 72,174,455 216,523,366 108,261,683 324,785,050 162,392,525 487,177,576 243,588,788 121,794,394 60,897,197 182,691,592 91,345,796 45,672,898 22,836,449 68,509,348 34,254,674 17,127,337 51,382,012 25,691,006 12,845,503 38,536,510 19,268,255 57,804,766 28,902,383 86,707,150 43,353,575 130,060,726 65,030,363 195,091,090 97,545,545 292,636,636 146,318,318 73,159,159 219,477,478 109,738,739 329,216,218 164,608,109 493,824,328 246,912,164 123,456,082 61,728,041 185,184,124 92,592,062 46,296,031 138,888,094 69,444,047 208,332,142 104,166,071 312,498,214 156,249,107 468,747,322 234,373,661 703,120,984 351,560,492 175,780,246 87,890,123 263,670,370

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