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Atlas › Integer Profiles › Node 6,700,148

6,700,148

22 × 7 × 13 × 79 × 233
Abundant Even Composite

6,700,148 factors as 2^2 × 7 × 13 × 79 × 233. Its 48 positive divisors give a proper-divisor sum of 7,976,332, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 79 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,676,480
Proper Divisor Sum 7,976,332
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6700147 ← → #6700157

Radix Representation

Decimal 6700148
Binary 11001100011110001110100 (23 bits)
Octal 0o31436164
Hexadecimal 0x663C74

Divisor Catalog (48)

1 2 4 7 13 14 26 28 52 79 91 158 182 233 316 364 466 553 932 1,027 1,106 1,631 2,054 2,212 3,029 3,262 4,108 6,058 6,524 7,189 12,116 14,378 18,407 21,203 28,756 36,814 42,406 73,628 84,812 128,849 239,291 257,698 478,582 515,396 957,164 1,675,037 3,350,074 6,700,148

Collatz Trajectory (165 steps to reach 1)

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

6,700,148 3,350,074 1,675,037 5,025,112 2,512,556 1,256,278 628,139 1,884,418 942,209 2,826,628 1,413,314 706,657 2,119,972 1,059,986 529,993 1,589,980 794,990 397,495 1,192,486 596,243 1,788,730 894,365 2,683,096 1,341,548 670,774 335,387 1,006,162 503,081 1,509,244 754,622 377,311 1,131,934 565,967 1,697,902 848,951 2,546,854 1,273,427 3,820,282 1,910,141 5,730,424 2,865,212 1,432,606 716,303 2,148,910 1,074,455 3,223,366 1,611,683 4,835,050 2,417,525 7,252,576 3,626,288 1,813,144 906,572 453,286 226,643 679,930 339,965 1,019,896 509,948 254,974

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