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Atlas › Integer Profiles › Node 62,397,252

62,397,252

22 × 32 × 23 × 179 × 421
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 23 × 179 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 165,896,640
Proper Divisor Sum 103,499,388
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #62397227 ← → #62397253

Radix Representation

Decimal 62397252
Binary 11101110000001101101000100 (26 bits)
Octal 0o356015504
Hexadecimal 0x3B81B44

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 23 36 46 69 92 138 179 207 276 358 414 421 537 716 828 842 1,074 1,263 1,611 1,684 2,148 2,526 3,222 3,789 4,117 5,052 6,444 7,578 8,234 9,683 12,351 15,156 16,468 19,366 24,702 29,049 37,053 38,732 49,404 58,098 74,106 75,359 87,147 116,196 148,212 150,718 174,294 226,077 301,436 348,588 452,154 678,231

Collatz Trajectory (127 steps to reach 1)

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

62,397,252 31,198,626 15,599,313 46,797,940 23,398,970 11,699,485 35,098,456 17,549,228 8,774,614 4,387,307 13,161,922 6,580,961 19,742,884 9,871,442 4,935,721 14,807,164 7,403,582 3,701,791 11,105,374 5,552,687 16,658,062 8,329,031 24,987,094 12,493,547 37,480,642 18,740,321 56,220,964 28,110,482 14,055,241 42,165,724 21,082,862 10,541,431 31,624,294 15,812,147 47,436,442 23,718,221 71,154,664 35,577,332 17,788,666 8,894,333 26,683,000 13,341,500 6,670,750 3,335,375 10,006,126 5,003,063 15,009,190 7,504,595 22,513,786 11,256,893 33,770,680 16,885,340 8,442,670 4,221,335 12,664,006 6,332,003 18,996,010 9,498,005 28,494,016 14,247,008

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