λ
Prime Ledger

5,002,172

22 × 7 × 227 × 787
Abundant Even Composite

5,002,172 has the prime decomposition 2^2 × 7 × 227 × 787. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 227 × 787
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,061,184
Proper Divisor Sum 5,059,012
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #5002157 ← → #5002189

Radix Representation

Decimal 5002172
Binary 10011000101001110111100 (23 bits)
Octal 0o23051674
Hexadecimal 0x4C53BC

Divisor Catalog (24)

1 2 4 7 14 28 227 454 787 908 1,574 1,589 3,148 3,178 5,509 6,356 11,018 22,036 178,649 357,298 714,596 1,250,543 2,501,086 5,002,172

Collatz Trajectory (188 steps to reach 1)

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

5,002,172 2,501,086 1,250,543 3,751,630 1,875,815 5,627,446 2,813,723 8,441,170 4,220,585 12,661,756 6,330,878 3,165,439 9,496,318 4,748,159 14,244,478 7,122,239 21,366,718 10,683,359 32,050,078 16,025,039 48,075,118 24,037,559 72,112,678 36,056,339 108,169,018 54,084,509 162,253,528 81,126,764 40,563,382 20,281,691 60,845,074 30,422,537 91,267,612 45,633,806 22,816,903 68,450,710 34,225,355 102,676,066 51,338,033 154,014,100 77,007,050 38,503,525 115,510,576 57,755,288 28,877,644 14,438,822 7,219,411 21,658,234 10,829,117 32,487,352 16,243,676 8,121,838 4,060,919 12,182,758 6,091,379 18,274,138 9,137,069 27,411,208 13,705,604 6,852,802

More profiles

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