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Atlas › Integer Profiles › Node 4,010,997

4,010,997

3 × 17 × 31 × 43 × 59
Deficient Odd Composite

4,010,997 factors as 3 × 17 × 31 × 43 × 59. Its 32 positive divisors give a proper-divisor sum of 2,071,563, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 3 × 17 × 31 × 43 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,082,560
Proper Divisor Sum 2,071,563
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4010977 ← → #4011011

Radix Representation

Decimal 4010997
Binary 1111010011001111110101 (22 bits)
Octal 0o17231765
Hexadecimal 0x3D33F5

Divisor Catalog (32)

1 3 17 31 43 51 59 93 129 177 527 731 1,003 1,333 1,581 1,829 2,193 2,537 3,009 3,999 5,487 7,611 22,661 31,093 43,129 67,983 78,647 93,279 129,387 235,941 1,336,999 4,010,997

Collatz Trajectory (141 steps to reach 1)

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

4,010,997 12,032,992 6,016,496 3,008,248 1,504,124 752,062 376,031 1,128,094 564,047 1,692,142 846,071 2,538,214 1,269,107 3,807,322 1,903,661 5,710,984 2,855,492 1,427,746 713,873 2,141,620 1,070,810 535,405 1,606,216 803,108 401,554 200,777 602,332 301,166 150,583 451,750 225,875 677,626 338,813 1,016,440 508,220 254,110 127,055 381,166 190,583 571,750 285,875 857,626 428,813 1,286,440 643,220 321,610 160,805 482,416 241,208 120,604 60,302 30,151 90,454 45,227 135,682 67,841 203,524 101,762 50,881 152,644

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