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Atlas › Integer Profiles › Node 31,735,354

31,735,354

2 × 7 × 23 × 67 × 1471
Deficient Even Composite

31,735,354 factors as 2 × 7 × 23 × 67 × 1471. Its 32 positive divisors give a proper-divisor sum of 25,919,942, so this integer is deficient. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2 × 7 × 23 × 67 × 1471
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 57,655,296
Proper Divisor Sum 25,919,942
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #31735349 ← → #31735369

Radix Representation

Decimal 31735354
Binary 1111001000011111000111010 (25 bits)
Octal 0o171037072
Hexadecimal 0x1E43E3A

Divisor Catalog (32)

1 2 7 14 23 46 67 134 161 322 469 938 1,471 1,541 2,942 3,082 10,297 10,787 20,594 21,574 33,833 67,666 98,557 197,114 236,831 473,662 689,899 1,379,798 2,266,811 4,533,622 15,867,677 31,735,354

Collatz Trajectory (219 steps to reach 1)

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

31,735,354 15,867,677 47,603,032 23,801,516 11,900,758 5,950,379 17,851,138 8,925,569 26,776,708 13,388,354 6,694,177 20,082,532 10,041,266 5,020,633 15,061,900 7,530,950 3,765,475 11,296,426 5,648,213 16,944,640 8,472,320 4,236,160 2,118,080 1,059,040 529,520 264,760 132,380 66,190 33,095 99,286 49,643 148,930 74,465 223,396 111,698 55,849 167,548 83,774 41,887 125,662 62,831 188,494 94,247 282,742 141,371 424,114 212,057 636,172 318,086 159,043 477,130 238,565 715,696 357,848 178,924 89,462 44,731 134,194 67,097 201,292

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