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Atlas › Integer Profiles › Node 4,149,752

4,149,752

23 × 19 × 23 × 1187
Abundant Even Composite

4,149,752 factors as 2^3 × 19 × 23 × 1187. Its 32 positive divisors give a proper-divisor sum of 4,403,848, so this integer is abundant. The Collatz stopping time is 260 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 23 × 1187
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,553,600
Proper Divisor Sum 4,403,848
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4149749 ← → #4149763

Radix Representation

Decimal 4149752
Binary 1111110101000111111000 (22 bits)
Octal 0o17650770
Hexadecimal 0x3F51F8

Divisor Catalog (32)

1 2 4 8 19 23 38 46 76 92 152 184 437 874 1,187 1,748 2,374 3,496 4,748 9,496 22,553 27,301 45,106 54,602 90,212 109,204 180,424 218,408 518,719 1,037,438 2,074,876 4,149,752

Collatz Trajectory (260 steps to reach 1)

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

4,149,752 2,074,876 1,037,438 518,719 1,556,158 778,079 2,334,238 1,167,119 3,501,358 1,750,679 5,252,038 2,626,019 7,878,058 3,939,029 11,817,088 5,908,544 2,954,272 1,477,136 738,568 369,284 184,642 92,321 276,964 138,482 69,241 207,724 103,862 51,931 155,794 77,897 233,692 116,846 58,423 175,270 87,635 262,906 131,453 394,360 197,180 98,590 49,295 147,886 73,943 221,830 110,915 332,746 166,373 499,120 249,560 124,780 62,390 31,195 93,586 46,793 140,380 70,190 35,095 105,286 52,643 157,930

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