λ
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2,175,138

2 × 32 × 7 × 61 × 283
Abundant Even Composite

2,175,138 factors as 2 × 3^2 × 7 × 61 × 283. Its 48 positive divisors give a proper-divisor sum of 3,318,558, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 61 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,493,696
Proper Divisor Sum 3,318,558
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2175127 ← → #2175161

Radix Representation

Decimal 2175138
Binary 1000010011000010100010 (22 bits)
Octal 0o10230242
Hexadecimal 0x2130A2

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 283 366 427 549 566 849 854 1,098 1,281 1,698 1,981 2,547 2,562 3,843 3,962 5,094 5,943 7,686 11,886 17,263 17,829 34,526 35,658 51,789 103,578 120,841 155,367 241,682 310,734 362,523 725,046 1,087,569 2,175,138

Collatz Trajectory (197 steps to reach 1)

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

2,175,138 1,087,569 3,262,708 1,631,354 815,677 2,447,032 1,223,516 611,758 305,879 917,638 458,819 1,376,458 688,229 2,064,688 1,032,344 516,172 258,086 129,043 387,130 193,565 580,696 290,348 145,174 72,587 217,762 108,881 326,644 163,322 81,661 244,984 122,492 61,246 30,623 91,870 45,935 137,806 68,903 206,710 103,355 310,066 155,033 465,100 232,550 116,275 348,826 174,413 523,240 261,620 130,810 65,405 196,216 98,108 49,054 24,527 73,582 36,791 110,374 55,187 165,562 82,781

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