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Atlas › Integer Profiles › Node 46,563,902

46,563,902

2 × 7 × 11 × 211 × 1433
Deficient Even Composite

46,563,902 factors as 2 × 7 × 11 × 211 × 1433. Its 32 positive divisors give a proper-divisor sum of 40,990,402, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 211 × 1433
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 87,554,304
Proper Divisor Sum 40,990,402
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #46563899 ← → #46563911

Radix Representation

Decimal 46563902
Binary 10110001101000001000111110 (26 bits)
Octal 0o261501076
Hexadecimal 0x2C6823E

Divisor Catalog (32)

1 2 7 11 14 22 77 154 211 422 1,433 1,477 2,321 2,866 2,954 4,642 10,031 15,763 16,247 20,062 31,526 32,494 110,341 220,682 302,363 604,726 2,116,541 3,325,993 4,233,082 6,651,986 23,281,951 46,563,902

Collatz Trajectory (230 steps to reach 1)

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

46,563,902 23,281,951 69,845,854 34,922,927 104,768,782 52,384,391 157,153,174 78,576,587 235,729,762 117,864,881 353,594,644 176,797,322 88,398,661 265,195,984 132,597,992 66,298,996 33,149,498 16,574,749 49,724,248 24,862,124 12,431,062 6,215,531 18,646,594 9,323,297 27,969,892 13,984,946 6,992,473 20,977,420 10,488,710 5,244,355 15,733,066 7,866,533 23,599,600 11,799,800 5,899,900 2,949,950 1,474,975 4,424,926 2,212,463 6,637,390 3,318,695 9,956,086 4,978,043 14,934,130 7,467,065 22,401,196 11,200,598 5,600,299 16,800,898 8,400,449 25,201,348 12,600,674 6,300,337 18,901,012 9,450,506 4,725,253 14,175,760 7,087,880 3,543,940 1,771,970

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