76,357,050

2 × 3 × 5² × 7 × 11² × 601

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7 × 11^2 × 601

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 238,276,416

Proper Divisor Sum 161,919,366

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #76357049 ← → #76357063

Radix Representation

Decimal	76357050
Binary	100100011010001110110111010 (27 bits)
Octal	0o443216672
Hexadecimal	0x48D1DBA

Divisor Catalog (60 of 144)

1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 50 55 66 70 75 77 105 110 121 150 154 165 175 210 231 242 275 330 350 363 385 462 525 550 601 605 726 770 825 847 1,050 1,155 1,202 1,210 1,650 1,694 1,803 1,815 1,925 2,310 2,541 3,005 3,025

Collatz Trajectory (109 steps to reach 1)

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

76,357,050 38,178,525 114,535,576 57,267,788 28,633,894 14,316,947 42,950,842 21,475,421 64,426,264 32,213,132 16,106,566 8,053,283 24,159,850 12,079,925 36,239,776 18,119,888 9,059,944 4,529,972 2,264,986 1,132,493 3,397,480 1,698,740 849,370 424,685 1,274,056 637,028 318,514 159,257 477,772 238,886 119,443 358,330 179,165 537,496 268,748 134,374 67,187 201,562 100,781 302,344 151,172 75,586 37,793 113,380 56,690 28,345 85,036 42,518 21,259 63,778 31,889 95,668 47,834 23,917 71,752 35,876 17,938 8,969 26,908 13,454

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