λ
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Atlas › Integer Profiles › Node 8,445,010

8,445,010

2 × 5 × 7 × 223 × 541
Abundant Even Composite

8,445,010 factors as 2 × 5 × 7 × 223 × 541. Its 32 positive divisors give a proper-divisor sum of 9,037,742, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 223 × 541
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,482,752
Proper Divisor Sum 9,037,742
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8444983 ← → #8445013

Radix Representation

Decimal 8445010
Binary 100000001101110001010010 (24 bits)
Octal 0o40156122
Hexadecimal 0x80DC52

Divisor Catalog (32)

1 2 5 7 10 14 35 70 223 446 541 1,082 1,115 1,561 2,230 2,705 3,122 3,787 5,410 7,574 7,805 15,610 18,935 37,870 120,643 241,286 603,215 844,501 1,206,430 1,689,002 4,222,505 8,445,010

Collatz Trajectory (106 steps to reach 1)

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

8,445,010 4,222,505 12,667,516 6,333,758 3,166,879 9,500,638 4,750,319 14,250,958 7,125,479 21,376,438 10,688,219 32,064,658 16,032,329 48,096,988 24,048,494 12,024,247 36,072,742 18,036,371 54,109,114 27,054,557 81,163,672 40,581,836 20,290,918 10,145,459 30,436,378 15,218,189 45,654,568 22,827,284 11,413,642 5,706,821 17,120,464 8,560,232 4,280,116 2,140,058 1,070,029 3,210,088 1,605,044 802,522 401,261 1,203,784 601,892 300,946 150,473 451,420 225,710 112,855 338,566 169,283 507,850 253,925 761,776 380,888 190,444 95,222 47,611 142,834 71,417 214,252 107,126 53,563

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