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11,615,700

22 × 3 × 52 × 31 × 1249
Abundant Even Composite

11,615,700 factors as 2^2 × 3 × 5^2 × 31 × 1249. Its 72 positive divisors give a proper-divisor sum of 23,104,300, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 31 × 1249
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 34,720,000
Proper Divisor Sum 23,104,300
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #11615699 ← → #11615701

Radix Representation

Decimal 11615700
Binary 101100010011110111010100 (24 bits)
Octal 0o54236724
Hexadecimal 0xB13DD4

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1,249 1,550 1,860 2,325 2,498 3,100 3,747 4,650 4,996 6,245 7,494 9,300 12,490 14,988 18,735 24,980 31,225 37,470 38,719 62,450 74,940 77,438 93,675 116,157 124,900 154,876 187,350 193,595 232,314 374,700

Collatz Trajectory (122 steps to reach 1)

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

11,615,700 5,807,850 2,903,925 8,711,776 4,355,888 2,177,944 1,088,972 544,486 272,243 816,730 408,365 1,225,096 612,548 306,274 153,137 459,412 229,706 114,853 344,560 172,280 86,140 43,070 21,535 64,606 32,303 96,910 48,455 145,366 72,683 218,050 109,025 327,076 163,538 81,769 245,308 122,654 61,327 183,982 91,991 275,974 137,987 413,962 206,981 620,944 310,472 155,236 77,618 38,809 116,428 58,214 29,107 87,322 43,661 130,984 65,492 32,746 16,373 49,120 24,560 12,280

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