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4,473,387

35 × 41 × 449
Deficient Odd Composite

4,473,387 factors as 3^5 × 41 × 449. Its 24 positive divisors give a proper-divisor sum of 2,406,213, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 3^5 × 41 × 449
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,879,600
Proper Divisor Sum 2,406,213
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4473383 ← → #4473409

Radix Representation

Decimal 4473387
Binary 10001000100001000101011 (23 bits)
Octal 0o21041053
Hexadecimal 0x44422B

Divisor Catalog (24)

1 3 9 27 41 81 123 243 369 449 1,107 1,347 3,321 4,041 9,963 12,123 18,409 36,369 55,227 109,107 165,681 497,043 1,491,129 4,473,387

Collatz Trajectory (149 steps to reach 1)

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

4,473,387 13,420,162 6,710,081 20,130,244 10,065,122 5,032,561 15,097,684 7,548,842 3,774,421 11,323,264 5,661,632 2,830,816 1,415,408 707,704 353,852 176,926 88,463 265,390 132,695 398,086 199,043 597,130 298,565 895,696 447,848 223,924 111,962 55,981 167,944 83,972 41,986 20,993 62,980 31,490 15,745 47,236 23,618 11,809 35,428 17,714 8,857 26,572 13,286 6,643 19,930 9,965 29,896 14,948 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732

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