λ
Math Directory

3,799,857

3 × 17 × 74507
Deficient Odd Composite

3,799,857 factors as 3 × 17 × 74507. Its 8 positive divisors give a proper-divisor sum of 1,564,719, so this integer is deficient. The Collatz stopping time is 247 steps.

Prime Factor Structure

Factorization String 3 × 17 × 74507
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,364,576
Proper Divisor Sum 1,564,719
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #3799837 ← → #3799877

Radix Representation

Decimal 3799857
Binary 1110011111101100110001 (22 bits)
Octal 0o16375461
Hexadecimal 0x39FB31

Divisor Catalog (8)

1 3 17 51 74,507 223,521 1,266,619 3,799,857

Collatz Trajectory (247 steps to reach 1)

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

3,799,857 11,399,572 5,699,786 2,849,893 8,549,680 4,274,840 2,137,420 1,068,710 534,355 1,603,066 801,533 2,404,600 1,202,300 601,150 300,575 901,726 450,863 1,352,590 676,295 2,028,886 1,014,443 3,043,330 1,521,665 4,564,996 2,282,498 1,141,249 3,423,748 1,711,874 855,937 2,567,812 1,283,906 641,953 1,925,860 962,930 481,465 1,444,396 722,198 361,099 1,083,298 541,649 1,624,948 812,474 406,237 1,218,712 609,356 304,678 152,339 457,018 228,509 685,528 342,764 171,382 85,691 257,074 128,537 385,612 192,806 96,403 289,210 144,605

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