4,463,877

3 × 11 × 17 × 73 × 109

4,463,877 factors as 3 × 11 × 17 × 73 × 109. Its 32 positive divisors give a proper-divisor sum of 2,569,083, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 3 × 11 × 17 × 73 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,032,960

Proper Divisor Sum 2,569,083

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4463857 ← → #4463887

Radix Representation

Decimal	4463877
Binary	10001000001110100000101 (23 bits)
Octal	0o21016405
Hexadecimal	0x441D05

Divisor Catalog (32)

1 3 11 17 33 51 73 109 187 219 327 561 803 1,199 1,241 1,853 2,409 3,597 3,723 5,559 7,957 13,651 20,383 23,871 40,953 61,149 87,527 135,269 262,581 405,807 1,487,959 4,463,877

Collatz Trajectory (149 steps to reach 1)

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

4,463,877 13,391,632 6,695,816 3,347,908 1,673,954 836,977 2,510,932 1,255,466 627,733 1,883,200 941,600 470,800 235,400 117,700 58,850 29,425 88,276 44,138 22,069 66,208 33,104 16,552 8,276 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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