λ
Sigma Notebook

3,751,424

29 × 17 × 431
Abundant Even Composite

3,751,424 is even and not a perfect square. Its factorization is 2^9 × 17 × 431 and its 40 divisors sum to 7,954,848.

Prime Factor Structure

Factorization String 2^9 × 17 × 431
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,954,848
Proper Divisor Sum 4,203,424
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3751421 ← → #3751457

Radix Representation

Decimal 3751424
Binary 1110010011111000000000 (22 bits)
Octal 0o16237000
Hexadecimal 0x393E00

Divisor Catalog (40)

1 2 4 8 16 17 32 34 64 68 128 136 256 272 431 512 544 862 1,088 1,724 2,176 3,448 4,352 6,896 7,327 8,704 13,792 14,654 27,584 29,308 55,168 58,616 110,336 117,232 220,672 234,464 468,928 937,856 1,875,712 3,751,424

Collatz Trajectory (110 steps to reach 1)

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

3,751,424 1,875,712 937,856 468,928 234,464 117,232 58,616 29,308 14,654 7,327 21,982 10,991 32,974 16,487 49,462 24,731 74,194 37,097 111,292 55,646 27,823 83,470 41,735 125,206 62,603 187,810 93,905 281,716 140,858 70,429 211,288 105,644 52,822 26,411 79,234 39,617 118,852 59,426 29,713 89,140 44,570 22,285 66,856 33,428 16,714 8,357 25,072 12,536 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812

More profiles

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