λ
Zalai Atlas

749,568

212 × 3 × 61
Abundant Even Composite

749,568 has the prime decomposition 2^12 × 3 × 61. Its 3 distinct prime factors produce 52 positive divisors.

Prime Factor Structure

Factorization String 2^12 × 3 × 61
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 52
Divisor Sum (σ) 2,031,368
Proper Divisor Sum 1,281,800
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #749557 ← → #749587

Radix Representation

Decimal 749568
Binary 10110111000000000000 (20 bits)
Octal 0o2670000
Hexadecimal 0xB7000

Divisor Catalog (52)

1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1,024 1,464 1,536 1,952 2,048 2,928 3,072 3,904 4,096 5,856 6,144 7,808 11,712 12,288 15,616 23,424 31,232 46,848 62,464 93,696 124,928 187,392 249,856 374,784 749,568

Collatz Trajectory (105 steps to reach 1)

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

749,568 374,784 187,392 93,696 46,848 23,424 11,712 5,856 2,928 1,464 732 366 183 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858

More profiles

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