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Atlas › Integer Profiles › Node 4,082,435

4,082,435

5 × 72 × 19 × 877
Deficient Odd Composite

4,082,435 factors as 5 × 7^2 × 19 × 877. Its 24 positive divisors give a proper-divisor sum of 1,923,085, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 19 × 877
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,005,520
Proper Divisor Sum 1,923,085
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4082423 ← → #4082447

Radix Representation

Decimal 4082435
Binary 1111100100101100000011 (22 bits)
Octal 0o17445403
Hexadecimal 0x3E4B03

Divisor Catalog (24)

1 5 7 19 35 49 95 133 245 665 877 931 4,385 4,655 6,139 16,663 30,695 42,973 83,315 116,641 214,865 583,205 816,487 4,082,435

Collatz Trajectory (123 steps to reach 1)

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

4,082,435 12,247,306 6,123,653 18,370,960 9,185,480 4,592,740 2,296,370 1,148,185 3,444,556 1,722,278 861,139 2,583,418 1,291,709 3,875,128 1,937,564 968,782 484,391 1,453,174 726,587 2,179,762 1,089,881 3,269,644 1,634,822 817,411 2,452,234 1,226,117 3,678,352 1,839,176 919,588 459,794 229,897 689,692 344,846 172,423 517,270 258,635 775,906 387,953 1,163,860 581,930 290,965 872,896 436,448 218,224 109,112 54,556 27,278 13,639 40,918 20,459 61,378 30,689 92,068 46,034 23,017 69,052 34,526 17,263 51,790 25,895

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