λ
Prime Ledger

7,417,690

2 × 5 × 7 × 105967
Abundant Even Composite

7,417,690 has the prime decomposition 2 × 5 × 7 × 105967. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 105967
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,259,392
Proper Divisor Sum 7,841,702
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7417673 ← → #7417691

Radix Representation

Decimal 7417690
Binary 11100010010111101011010 (23 bits)
Octal 0o34227532
Hexadecimal 0x712F5A

Divisor Catalog (16)

1 2 5 7 10 14 35 70 105,967 211,934 529,835 741,769 1,059,670 1,483,538 3,708,845 7,417,690

Collatz Trajectory (217 steps to reach 1)

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

7,417,690 3,708,845 11,126,536 5,563,268 2,781,634 1,390,817 4,172,452 2,086,226 1,043,113 3,129,340 1,564,670 782,335 2,347,006 1,173,503 3,520,510 1,760,255 5,280,766 2,640,383 7,921,150 3,960,575 11,881,726 5,940,863 17,822,590 8,911,295 26,733,886 13,366,943 40,100,830 20,050,415 60,151,246 30,075,623 90,226,870 45,113,435 135,340,306 67,670,153 203,010,460 101,505,230 50,752,615 152,257,846 76,128,923 228,386,770 114,193,385 342,580,156 171,290,078 85,645,039 256,935,118 128,467,559 385,402,678 192,701,339 578,104,018 289,052,009 867,156,028 433,578,014 216,789,007 650,367,022 325,183,511 975,550,534 487,775,267 1,463,325,802 731,662,901 2,194,988,704

More profiles

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