λ
Ratio Atlas

32,030,591

32030591
Deficient Odd Prime

32,030,591 factors as 32030591. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 32030591
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 32,030,592
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #32030563 ← → #32030611

Radix Representation

Decimal 32030591
Binary 1111010001011111101111111 (25 bits)
Octal 0o172137577
Hexadecimal 0x1E8BF7F

Divisor Catalog (2)

Collatz Trajectory (206 steps to reach 1)

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

32,030,591 96,091,774 48,045,887 144,137,662 72,068,831 216,206,494 108,103,247 324,309,742 162,154,871 486,464,614 243,232,307 729,696,922 364,848,461 1,094,545,384 547,272,692 273,636,346 136,818,173 410,454,520 205,227,260 102,613,630 51,306,815 153,920,446 76,960,223 230,880,670 115,440,335 346,321,006 173,160,503 519,481,510 259,740,755 779,222,266 389,611,133 1,168,833,400 584,416,700 292,208,350 146,104,175 438,312,526 219,156,263 657,468,790 328,734,395 986,203,186 493,101,593 1,479,304,780 739,652,390 369,826,195 1,109,478,586 554,739,293 1,664,217,880 832,108,940 416,054,470 208,027,235 624,081,706 312,040,853 936,122,560 468,061,280 234,030,640 117,015,320 58,507,660 29,253,830 14,626,915 43,880,746

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