λ
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3,563,735

5 × 7 × 19 × 23 × 233
Deficient Odd Composite

3,563,735 factors as 5 × 7 × 19 × 23 × 233. Its 32 positive divisors give a proper-divisor sum of 1,827,625, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 5 × 7 × 19 × 23 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,391,360
Proper Divisor Sum 1,827,625
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3563731 ← → #3563741

Radix Representation

Decimal 3563735
Binary 1101100110000011010111 (22 bits)
Octal 0o15460327
Hexadecimal 0x3660D7

Divisor Catalog (32)

1 5 7 19 23 35 95 115 133 161 233 437 665 805 1,165 1,631 2,185 3,059 4,427 5,359 8,155 15,295 22,135 26,795 30,989 37,513 101,821 154,945 187,565 509,105 712,747 3,563,735

Collatz Trajectory (97 steps to reach 1)

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

3,563,735 10,691,206 5,345,603 16,036,810 8,018,405 24,055,216 12,027,608 6,013,804 3,006,902 1,503,451 4,510,354 2,255,177 6,765,532 3,382,766 1,691,383 5,074,150 2,537,075 7,611,226 3,805,613 11,416,840 5,708,420 2,854,210 1,427,105 4,281,316 2,140,658 1,070,329 3,210,988 1,605,494 802,747 2,408,242 1,204,121 3,612,364 1,806,182 903,091 2,709,274 1,354,637 4,063,912 2,031,956 1,015,978 507,989 1,523,968 761,984 380,992 190,496 95,248 47,624 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628

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