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Atlas › Integer Profiles › Node 7,301,920

7,301,920

25 × 5 × 47 × 971
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5 × 47 × 971
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,635,968
Proper Divisor Sum 10,334,048
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7301897 ← → #7301923

Radix Representation

Decimal 7301920
Binary 11011110110101100100000 (23 bits)
Octal 0o33665440
Hexadecimal 0x6F6B20

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 971 1,504 1,880 1,942 3,760 3,884 4,855 7,520 7,768 9,710 15,536 19,420 31,072 38,840 45,637 77,680 91,274 155,360 182,548 228,185 365,096 456,370 730,192 912,740 1,460,384 1,825,480 3,650,960 7,301,920

Collatz Trajectory (67 steps to reach 1)

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

7,301,920 3,650,960 1,825,480 912,740 456,370 228,185 684,556 342,278 171,139 513,418 256,709 770,128 385,064 192,532 96,266 48,133 144,400 72,200 36,100 18,050 9,025 27,076 13,538 6,769 20,308 10,154 5,077 15,232 7,616 3,808 1,904 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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