λ
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4,476,648

23 × 3 × 11 × 31 × 547
Abundant Even Composite

4,476,648 factors as 2^3 × 3 × 11 × 31 × 547. Its 64 positive divisors give a proper-divisor sum of 8,149,272, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 31 × 547
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,625,920
Proper Divisor Sum 8,149,272
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4476631 ← → #4476653

Radix Representation

Decimal 4476648
Binary 10001000100111011101000 (23 bits)
Octal 0o21047350
Hexadecimal 0x444EE8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 547 682 744 1,023 1,094 1,364 1,641 2,046 2,188 2,728 3,282 4,092 4,376 6,017 6,564 8,184 12,034 13,128 16,957 18,051 24,068 33,914 36,102 48,136 50,871 67,828 72,204 101,742 135,656 144,408 186,527 203,484 373,054 406,968 559,581 746,108

Collatz Trajectory (118 steps to reach 1)

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

4,476,648 2,238,324 1,119,162 559,581 1,678,744 839,372 419,686 209,843 629,530 314,765 944,296 472,148 236,074 118,037 354,112 177,056 88,528 44,264 22,132 11,066 5,533 16,600 8,300 4,150 2,075 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430

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