λ
Prime Ledger

4,724,910

2 × 32 × 5 × 47 × 1117
Abundant Even Composite

4,724,910 has the prime decomposition 2 × 3^2 × 5 × 47 × 1117. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 47 × 1117
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,557,376
Proper Divisor Sum 7,832,466
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4724903 ← → #4724917

Radix Representation

Decimal 4724910
Binary 10010000001100010101110 (23 bits)
Octal 0o22014256
Hexadecimal 0x4818AE

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 1,117 1,410 2,115 2,234 3,351 4,230 5,585 6,702 10,053 11,170 16,755 20,106 33,510 50,265 52,499 100,530 104,998 157,497 262,495 314,994 472,491 524,990 787,485 944,982 1,574,970 2,362,455 4,724,910

Collatz Trajectory (100 steps to reach 1)

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

4,724,910 2,362,455 7,087,366 3,543,683 10,631,050 5,315,525 15,946,576 7,973,288 3,986,644 1,993,322 996,661 2,989,984 1,494,992 747,496 373,748 186,874 93,437 280,312 140,156 70,078 35,039 105,118 52,559 157,678 78,839 236,518 118,259 354,778 177,389 532,168 266,084 133,042 66,521 199,564 99,782 49,891 149,674 74,837 224,512 112,256 56,128 28,064 14,032 7,016 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836

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