λ
Modular Archive

4,237,729

103 × 41143
Deficient Odd Composite

The decimal integer 4,237,729 is 10000001010100110100001 in binary (23 bits), 20124641 in octal and 40A9A1 in hexadecimal. Its digit sum is 34.

Prime Factor Structure

Factorization String 103 × 41143
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,278,976
Proper Divisor Sum 41,247
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4237699 ← → #4237733

Radix Representation

Decimal 4237729
Binary 10000001010100110100001 (23 bits)
Octal 0o20124641
Hexadecimal 0x40A9A1

Divisor Catalog (4)

1 103 41,143 4,237,729

Collatz Trajectory (149 steps to reach 1)

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

4,237,729 12,713,188 6,356,594 3,178,297 9,534,892 4,767,446 2,383,723 7,151,170 3,575,585 10,726,756 5,363,378 2,681,689 8,045,068 4,022,534 2,011,267 6,033,802 3,016,901 9,050,704 4,525,352 2,262,676 1,131,338 565,669 1,697,008 848,504 424,252 212,126 106,063 318,190 159,095 477,286 238,643 715,930 357,965 1,073,896 536,948 268,474 134,237 402,712 201,356 100,678 50,339 151,018 75,509 226,528 113,264 56,632 28,316 14,158 7,079 21,238 10,619 31,858 15,929 47,788 23,894 11,947 35,842 17,921 53,764 26,882

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