4,993,737

3 × 7³ × 23 × 211

4,993,737 factors as 3 × 7^3 × 23 × 211. Its 32 positive divisors give a proper-divisor sum of 3,147,063, so this integer is deficient. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 3 × 7^3 × 23 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,140,800

Proper Divisor Sum 3,147,063

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4993693 ← → #4993741

Radix Representation

Decimal	4993737
Binary	10011000011001011001001 (23 bits)
Octal	0o23031311
Hexadecimal	0x4C32C9

Divisor Catalog (32)

1 3 7 21 23 49 69 147 161 211 343 483 633 1,029 1,127 1,477 3,381 4,431 4,853 7,889 10,339 14,559 23,667 31,017 33,971 72,373 101,913 217,119 237,797 713,391 1,664,579 4,993,737

Collatz Trajectory (131 steps to reach 1)

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

4,993,737 14,981,212 7,490,606 3,745,303 11,235,910 5,617,955 16,853,866 8,426,933 25,280,800 12,640,400 6,320,200 3,160,100 1,580,050 790,025 2,370,076 1,185,038 592,519 1,777,558 888,779 2,666,338 1,333,169 3,999,508 1,999,754 999,877 2,999,632 1,499,816 749,908 374,954 187,477 562,432 281,216 140,608 70,304 35,152 17,576 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890

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