λ
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Atlas › Integer Profiles › Node 7,996,040

7,996,040

23 × 5 × 13 × 15377
Abundant Even Composite

7,996,040 factors as 2^3 × 5 × 13 × 15377. Its 32 positive divisors give a proper-divisor sum of 11,380,240, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 15377
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,376,280
Proper Divisor Sum 11,380,240
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7996031 ← → #7996049

Radix Representation

Decimal 7996040
Binary 11110100000001010001000 (23 bits)
Octal 0o36401210
Hexadecimal 0x7A0288

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 15,377 30,754 61,508 76,885 123,016 153,770 199,901 307,540 399,802 615,080 799,604 999,505 1,599,208 1,999,010 3,998,020 7,996,040

Collatz Trajectory (186 steps to reach 1)

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

7,996,040 3,998,020 1,999,010 999,505 2,998,516 1,499,258 749,629 2,248,888 1,124,444 562,222 281,111 843,334 421,667 1,265,002 632,501 1,897,504 948,752 474,376 237,188 118,594 59,297 177,892 88,946 44,473 133,420 66,710 33,355 100,066 50,033 150,100 75,050 37,525 112,576 56,288 28,144 14,072 7,036 3,518 1,759 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235

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