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Atlas › Integer Profiles › Node 76,200,545

76,200,545

5 × 17 × 19 × 29 × 1627
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 17 × 19 × 29 × 1627
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 105,494,400
Proper Divisor Sum 29,293,855
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #76200517 ← → #76200547

Radix Representation

Decimal 76200545
Binary 100100010101011101001100001 (27 bits)
Octal 0o442535141
Hexadecimal 0x48ABA61

Divisor Catalog (32)

1 5 17 19 29 85 95 145 323 493 551 1,615 1,627 2,465 2,755 8,135 9,367 27,659 30,913 46,835 47,183 138,295 154,565 235,915 525,521 802,111 896,477 2,627,605 4,010,555 4,482,385 15,240,109 76,200,545

Collatz Trajectory (179 steps to reach 1)

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

76,200,545 228,601,636 114,300,818 57,150,409 171,451,228 85,725,614 42,862,807 128,588,422 64,294,211 192,882,634 96,441,317 289,323,952 144,661,976 72,330,988 36,165,494 18,082,747 54,248,242 27,124,121 81,372,364 40,686,182 20,343,091 61,029,274 30,514,637 91,543,912 45,771,956 22,885,978 11,442,989 34,328,968 17,164,484 8,582,242 4,291,121 12,873,364 6,436,682 3,218,341 9,655,024 4,827,512 2,413,756 1,206,878 603,439 1,810,318 905,159 2,715,478 1,357,739 4,073,218 2,036,609 6,109,828 3,054,914 1,527,457 4,582,372 2,291,186 1,145,593 3,436,780 1,718,390 859,195 2,577,586 1,288,793 3,866,380 1,933,190 966,595 2,899,786

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