λ
Match Zalai

3,967,695

32 × 5 × 37 × 2383
Deficient Odd Composite

3,967,695 factors as 3^2 × 5 × 37 × 2383. Its 24 positive divisors give a proper-divisor sum of 3,098,481, so this integer is deficient. The Collatz stopping time is 260 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 37 × 2383
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,066,176
Proper Divisor Sum 3,098,481
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3967687 ← → #3967699

Radix Representation

Decimal 3967695
Binary 1111001000101011001111 (22 bits)
Octal 0o17105317
Hexadecimal 0x3C8ACF

Divisor Catalog (24)

1 3 5 9 15 37 45 111 185 333 555 1,665 2,383 7,149 11,915 21,447 35,745 88,171 107,235 264,513 440,855 793,539 1,322,565 3,967,695

Collatz Trajectory (260 steps to reach 1)

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

3,967,695 11,903,086 5,951,543 17,854,630 8,927,315 26,781,946 13,390,973 40,172,920 20,086,460 10,043,230 5,021,615 15,064,846 7,532,423 22,597,270 11,298,635 33,895,906 16,947,953 50,843,860 25,421,930 12,710,965 38,132,896 19,066,448 9,533,224 4,766,612 2,383,306 1,191,653 3,574,960 1,787,480 893,740 446,870 223,435 670,306 335,153 1,005,460 502,730 251,365 754,096 377,048 188,524 94,262 47,131 141,394 70,697 212,092 106,046 53,023 159,070 79,535 238,606 119,303 357,910 178,955 536,866 268,433 805,300 402,650 201,325 603,976 301,988 150,994

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