6,470,464

2⁶ × 7 × 11 × 13 × 101

6,470,464 factors as 2^6 × 7 × 11 × 13 × 101. Its 112 positive divisors give a proper-divisor sum of 10,939,712, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 11 × 13 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 17,410,176

Proper Divisor Sum 10,939,712

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #6470437 ← → #6470467

Radix Representation

Decimal	6470464
Binary	11000101011101101000000 (23 bits)
Octal	0o30535500
Hexadecimal	0x62BB40

Divisor Catalog (60 of 112)

1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 101 104 112 143 154 176 182 202 208 224 286 308 352 364 404 416 448 572 616 704 707 728 808 832 1,001 1,111 1,144 1,232 1,313 1,414 1,456 1,616 2,002 2,222 2,288 2,464 2,626 2,828 2,912 3,232

Collatz Trajectory (72 steps to reach 1)

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

6,470,464 3,235,232 1,617,616 808,808 404,404 202,202 101,101 303,304 151,652 75,826 37,913 113,740 56,870 28,435 85,306 42,653 127,960 63,980 31,990 15,995 47,986 23,993 71,980 35,990 17,995 53,986 26,993 80,980 40,490 20,245 60,736 30,368 15,184 7,592 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34

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