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7,572,072

23 × 3 × 17 × 67 × 277
Abundant Even Composite

7,572,072 factors as 2^3 × 3 × 17 × 67 × 277. Its 64 positive divisors give a proper-divisor sum of 12,844,248, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 67 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 20,416,320
Proper Divisor Sum 12,844,248
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7572067 ← → #7572073

Radix Representation

Decimal 7572072
Binary 11100111000101001101000 (23 bits)
Octal 0o34705150
Hexadecimal 0x738A68

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 17 24 34 51 67 68 102 134 136 201 204 268 277 402 408 536 554 804 831 1,108 1,139 1,608 1,662 2,216 2,278 3,324 3,417 4,556 4,709 6,648 6,834 9,112 9,418 13,668 14,127 18,559 18,836 27,336 28,254 37,118 37,672 55,677 56,508 74,236 111,354 113,016 148,472 222,708 315,503 445,416 631,006 946,509 1,262,012

Collatz Trajectory (111 steps to reach 1)

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

7,572,072 3,786,036 1,893,018 946,509 2,839,528 1,419,764 709,882 354,941 1,064,824 532,412 266,206 133,103 399,310 199,655 598,966 299,483 898,450 449,225 1,347,676 673,838 336,919 1,010,758 505,379 1,516,138 758,069 2,274,208 1,137,104 568,552 284,276 142,138 71,069 213,208 106,604 53,302 26,651 79,954 39,977 119,932 59,966 29,983 89,950 44,975 134,926 67,463 202,390 101,195 303,586 151,793 455,380 227,690 113,845 341,536 170,768 85,384 42,692 21,346 10,673 32,020 16,010 8,005

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