λ
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Atlas › Integer Profiles › Node 5,777,562

5,777,562

2 × 3 × 7 × 151 × 911
Abundant Even Composite

5,777,562 factors as 2 × 3 × 7 × 151 × 911. Its 32 positive divisors give a proper-divisor sum of 7,530,342, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 151 × 911
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,307,904
Proper Divisor Sum 7,530,342
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5777557 ← → #5777573

Radix Representation

Decimal 5777562
Binary 10110000010100010011010 (23 bits)
Octal 0o26024232
Hexadecimal 0x58289A

Divisor Catalog (32)

1 2 3 6 7 14 21 42 151 302 453 906 911 1,057 1,822 2,114 2,733 3,171 5,466 6,342 6,377 12,754 19,131 38,262 137,561 275,122 412,683 825,366 962,927 1,925,854 2,888,781 5,777,562

Collatz Trajectory (108 steps to reach 1)

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

5,777,562 2,888,781 8,666,344 4,333,172 2,166,586 1,083,293 3,249,880 1,624,940 812,470 406,235 1,218,706 609,353 1,828,060 914,030 457,015 1,371,046 685,523 2,056,570 1,028,285 3,084,856 1,542,428 771,214 385,607 1,156,822 578,411 1,735,234 867,617 2,602,852 1,301,426 650,713 1,952,140 976,070 488,035 1,464,106 732,053 2,196,160 1,098,080 549,040 274,520 137,260 68,630 34,315 102,946 51,473 154,420 77,210 38,605 115,816 57,908 28,954 14,477 43,432 21,716 10,858 5,429 16,288 8,144 4,072 2,036 1,018

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