λ
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Atlas › Integer Profiles › Node 35,054,950

35,054,950

2 × 52 × 7 × 47 × 2131
Abundant Even Composite

35,054,950 factors as 2 × 5^2 × 7 × 47 × 2131. Its 48 positive divisors give a proper-divisor sum of 41,083,034, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 47 × 2131
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 76,137,984
Proper Divisor Sum 41,083,034
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #35054897 ← → #35054951

Radix Representation

Decimal 35054950
Binary 10000101101110010101100110 (26 bits)
Octal 0o205562546
Hexadecimal 0x216E566

Divisor Catalog (48)

1 2 5 7 10 14 25 35 47 50 70 94 175 235 329 350 470 658 1,175 1,645 2,131 2,350 3,290 4,262 8,225 10,655 14,917 16,450 21,310 29,834 53,275 74,585 100,157 106,550 149,170 200,314 372,925 500,785 701,099 745,850 1,001,570 1,402,198 2,503,925 3,505,495 5,007,850 7,010,990 17,527,475 35,054,950

Collatz Trajectory (152 steps to reach 1)

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

35,054,950 17,527,475 52,582,426 26,291,213 78,873,640 39,436,820 19,718,410 9,859,205 29,577,616 14,788,808 7,394,404 3,697,202 1,848,601 5,545,804 2,772,902 1,386,451 4,159,354 2,079,677 6,239,032 3,119,516 1,559,758 779,879 2,339,638 1,169,819 3,509,458 1,754,729 5,264,188 2,632,094 1,316,047 3,948,142 1,974,071 5,922,214 2,961,107 8,883,322 4,441,661 13,324,984 6,662,492 3,331,246 1,665,623 4,996,870 2,498,435 7,495,306 3,747,653 11,242,960 5,621,480 2,810,740 1,405,370 702,685 2,108,056 1,054,028 527,014 263,507 790,522 395,261 1,185,784 592,892 296,446 148,223 444,670 222,335

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