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Atlas › Integer Profiles › Node 5,771,262

5,771,262

2 × 3 × 7 × 17 × 59 × 137
Abundant Even Composite

5,771,262 factors as 2 × 3 × 7 × 17 × 59 × 137. Its 64 positive divisors give a proper-divisor sum of 8,536,578, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 17 × 59 × 137
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 14,307,840
Proper Divisor Sum 8,536,578
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5771257 ← → #5771263

Radix Representation

Decimal 5771262
Binary 10110000000111111111110 (23 bits)
Octal 0o26007776
Hexadecimal 0x580FFE

Divisor Catalog (60 of 64)

1 2 3 6 7 14 17 21 34 42 51 59 102 118 119 137 177 238 274 354 357 411 413 714 822 826 959 1,003 1,239 1,918 2,006 2,329 2,478 2,877 3,009 4,658 5,754 6,018 6,987 7,021 8,083 13,974 14,042 16,166 16,303 21,063 24,249 32,606 42,126 48,498 48,909 56,581 97,818 113,162 137,411 169,743 274,822 339,486 412,233 824,466

Collatz Trajectory (152 steps to reach 1)

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

5,771,262 2,885,631 8,656,894 4,328,447 12,985,342 6,492,671 19,478,014 9,739,007 29,217,022 14,608,511 43,825,534 21,912,767 65,738,302 32,869,151 98,607,454 49,303,727 147,911,182 73,955,591 221,866,774 110,933,387 332,800,162 166,400,081 499,200,244 249,600,122 124,800,061 374,400,184 187,200,092 93,600,046 46,800,023 140,400,070 70,200,035 210,600,106 105,300,053 315,900,160 157,950,080 78,975,040 39,487,520 19,743,760 9,871,880 4,935,940 2,467,970 1,233,985 3,701,956 1,850,978 925,489 2,776,468 1,388,234 694,117 2,082,352 1,041,176 520,588 260,294 130,147 390,442 195,221 585,664 292,832 146,416 73,208 36,604

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