λ
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35,521,990

2 × 5 × 7 × 41 × 12377
Abundant Even Composite

35,521,990 factors as 2 × 5 × 7 × 41 × 12377. Its 32 positive divisors give a proper-divisor sum of 39,340,154, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 41 × 12377
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 74,862,144
Proper Divisor Sum 39,340,154
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #35521987 ← → #35521991

Radix Representation

Decimal 35521990
Binary 10000111100000010111000110 (26 bits)
Octal 0o207402706
Hexadecimal 0x21E05C6

Divisor Catalog (32)

1 2 5 7 10 14 35 41 70 82 205 287 410 574 1,435 2,870 12,377 24,754 61,885 86,639 123,770 173,278 433,195 507,457 866,390 1,014,914 2,537,285 3,552,199 5,074,570 7,104,398 17,760,995 35,521,990

Collatz Trajectory (152 steps to reach 1)

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

35,521,990 17,760,995 53,282,986 26,641,493 79,924,480 39,962,240 19,981,120 9,990,560 4,995,280 2,497,640 1,248,820 624,410 312,205 936,616 468,308 234,154 117,077 351,232 175,616 87,808 43,904 21,952 10,976 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182

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