λ
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6,360,244

22 × 112 × 17 × 773
Abundant Even Composite

6,360,244 factors as 2^2 × 11^2 × 17 × 773. Its 36 positive divisors give a proper-divisor sum of 6,610,448, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 17 × 773
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 12,970,692
Proper Divisor Sum 6,610,448
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6360217 ← → #6360247

Radix Representation

Decimal 6360244
Binary 11000010000110010110100 (23 bits)
Octal 0o30206264
Hexadecimal 0x610CB4

Divisor Catalog (36)

1 2 4 11 17 22 34 44 68 121 187 242 374 484 748 773 1,546 2,057 3,092 4,114 8,228 8,503 13,141 17,006 26,282 34,012 52,564 93,533 144,551 187,066 289,102 374,132 578,204 1,590,061 3,180,122 6,360,244

Collatz Trajectory (103 steps to reach 1)

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

6,360,244 3,180,122 1,590,061 4,770,184 2,385,092 1,192,546 596,273 1,788,820 894,410 447,205 1,341,616 670,808 335,404 167,702 83,851 251,554 125,777 377,332 188,666 94,333 283,000 141,500 70,750 35,375 106,126 53,063 159,190 79,595 238,786 119,393 358,180 179,090 89,545 268,636 134,318 67,159 201,478 100,739 302,218 151,109 453,328 226,664 113,332 56,666 28,333 85,000 42,500 21,250 10,625 31,876 15,938 7,969 23,908 11,954 5,977 17,932 8,966 4,483 13,450 6,725

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