λ
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Atlas › Integer Profiles › Node 7,148,230

7,148,230

2 × 5 × 47 × 67 × 227
Deficient Even Composite

7,148,230 factors as 2 × 5 × 47 × 67 × 227. Its 32 positive divisors give a proper-divisor sum of 6,247,226, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 5 × 47 × 67 × 227
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,395,456
Proper Divisor Sum 6,247,226
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7148203 ← → #7148243

Radix Representation

Decimal 7148230
Binary 11011010001001011000110 (23 bits)
Octal 0o33211306
Hexadecimal 0x6D12C6

Divisor Catalog (32)

1 2 5 10 47 67 94 134 227 235 335 454 470 670 1,135 2,270 3,149 6,298 10,669 15,209 15,745 21,338 30,418 31,490 53,345 76,045 106,690 152,090 714,823 1,429,646 3,574,115 7,148,230

Collatz Trajectory (98 steps to reach 1)

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

7,148,230 3,574,115 10,722,346 5,361,173 16,083,520 8,041,760 4,020,880 2,010,440 1,005,220 502,610 251,305 753,916 376,958 188,479 565,438 282,719 848,158 424,079 1,272,238 636,119 1,908,358 954,179 2,862,538 1,431,269 4,293,808 2,146,904 1,073,452 536,726 268,363 805,090 402,545 1,207,636 603,818 301,909 905,728 452,864 226,432 113,216 56,608 28,304 14,152 7,076 3,538 1,769 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564

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