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Atlas › Integer Profiles › Node 76,030,892

76,030,892

22 × 7 × 41 × 103 × 643
Abundant Even Composite

76,030,892 factors as 2^2 × 7 × 41 × 103 × 643. Its 48 positive divisors give a proper-divisor sum of 81,496,660, so this integer is abundant. The Collatz stopping time is 272 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 41 × 103 × 643
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 157,527,552
Proper Divisor Sum 81,496,660
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #76030873 ← → #76030897

Radix Representation

Decimal 76030892
Binary 100100010000010001110101100 (27 bits)
Octal 0o442021654
Hexadecimal 0x48823AC

Divisor Catalog (48)

1 2 4 7 14 28 41 82 103 164 206 287 412 574 643 721 1,148 1,286 1,442 2,572 2,884 4,223 4,501 8,446 9,002 16,892 18,004 26,363 29,561 52,726 59,122 66,229 105,452 118,244 132,458 184,541 264,916 369,082 463,603 738,164 927,206 1,854,412 2,715,389 5,430,778 10,861,556 19,007,723 38,015,446 76,030,892

Collatz Trajectory (272 steps to reach 1)

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

76,030,892 38,015,446 19,007,723 57,023,170 28,511,585 85,534,756 42,767,378 21,383,689 64,151,068 32,075,534 16,037,767 48,113,302 24,056,651 72,169,954 36,084,977 108,254,932 54,127,466 27,063,733 81,191,200 40,595,600 20,297,800 10,148,900 5,074,450 2,537,225 7,611,676 3,805,838 1,902,919 5,708,758 2,854,379 8,563,138 4,281,569 12,844,708 6,422,354 3,211,177 9,633,532 4,816,766 2,408,383 7,225,150 3,612,575 10,837,726 5,418,863 16,256,590 8,128,295 24,384,886 12,192,443 36,577,330 18,288,665 54,865,996 27,432,998 13,716,499 41,149,498 20,574,749 61,724,248 30,862,124 15,431,062 7,715,531 23,146,594 11,573,297 34,719,892 17,359,946

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