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36,770,600

23 × 52 × 37 × 4969
Abundant Even Composite

36,770,600 factors as 2^3 × 5^2 × 37 × 4969. Its 48 positive divisors give a proper-divisor sum of 51,049,300, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 37 × 4969
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 87,819,900
Proper Divisor Sum 51,049,300
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #36770599 ← → #36770603

Radix Representation

Decimal 36770600
Binary 10001100010001001100101000 (26 bits)
Octal 0o214211450
Hexadecimal 0x2311328

Divisor Catalog (48)

1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1,480 1,850 3,700 4,969 7,400 9,938 19,876 24,845 39,752 49,690 99,380 124,225 183,853 198,760 248,450 367,706 496,900 735,412 919,265 993,800 1,470,824 1,838,530 3,677,060 4,596,325 7,354,120 9,192,650 18,385,300 36,770,600

Collatz Trajectory (214 steps to reach 1)

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

36,770,600 18,385,300 9,192,650 4,596,325 13,788,976 6,894,488 3,447,244 1,723,622 861,811 2,585,434 1,292,717 3,878,152 1,939,076 969,538 484,769 1,454,308 727,154 363,577 1,090,732 545,366 272,683 818,050 409,025 1,227,076 613,538 306,769 920,308 460,154 230,077 690,232 345,116 172,558 86,279 258,838 129,419 388,258 194,129 582,388 291,194 145,597 436,792 218,396 109,198 54,599 163,798 81,899 245,698 122,849 368,548 184,274 92,137 276,412 138,206 69,103 207,310 103,655 310,966 155,483 466,450 233,225

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