λ
Prime Ledger

9,723,390

2 × 3 × 5 × 324113
Abundant Even Composite

9,723,390 has the prime decomposition 2 × 3 × 5 × 324113. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 324113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 23,336,208
Proper Divisor Sum 13,612,818
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9723349 ← → #9723391

Radix Representation

Decimal 9723390
Binary 100101000101110111111110 (24 bits)
Octal 0o45056776
Hexadecimal 0x945DFE

Divisor Catalog (16)

1 2 3 5 6 10 15 30 324,113 648,226 972,339 1,620,565 1,944,678 3,241,130 4,861,695 9,723,390

Collatz Trajectory (176 steps to reach 1)

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

9,723,390 4,861,695 14,585,086 7,292,543 21,877,630 10,938,815 32,816,446 16,408,223 49,224,670 24,612,335 73,837,006 36,918,503 110,755,510 55,377,755 166,133,266 83,066,633 249,199,900 124,599,950 62,299,975 186,899,926 93,449,963 280,349,890 140,174,945 420,524,836 210,262,418 105,131,209 315,393,628 157,696,814 78,848,407 236,545,222 118,272,611 354,817,834 177,408,917 532,226,752 266,113,376 133,056,688 66,528,344 33,264,172 16,632,086 8,316,043 24,948,130 12,474,065 37,422,196 18,711,098 9,355,549 28,066,648 14,033,324 7,016,662 3,508,331 10,524,994 5,262,497 15,787,492 7,893,746 3,946,873 11,840,620 5,920,310 2,960,155 8,880,466 4,440,233 13,320,700

More profiles

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