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Atlas › Integer Profiles › Node 7,384,398

7,384,398

2 × 3 × 72 × 25117
Abundant Even Composite

7,384,398 factors as 2 × 3 × 7^2 × 25117. Its 24 positive divisors give a proper-divisor sum of 9,796,314, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 25117
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,180,712
Proper Divisor Sum 9,796,314
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7384397 ← → #7384411

Radix Representation

Decimal 7384398
Binary 11100001010110101001110 (23 bits)
Octal 0o34126516
Hexadecimal 0x70AD4E

Divisor Catalog (24)

1 2 3 6 7 14 21 42 49 98 147 294 25,117 50,234 75,351 150,702 175,819 351,638 527,457 1,054,914 1,230,733 2,461,466 3,692,199 7,384,398

Collatz Trajectory (235 steps to reach 1)

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

7,384,398 3,692,199 11,076,598 5,538,299 16,614,898 8,307,449 24,922,348 12,461,174 6,230,587 18,691,762 9,345,881 28,037,644 14,018,822 7,009,411 21,028,234 10,514,117 31,542,352 15,771,176 7,885,588 3,942,794 1,971,397 5,914,192 2,957,096 1,478,548 739,274 369,637 1,108,912 554,456 277,228 138,614 69,307 207,922 103,961 311,884 155,942 77,971 233,914 116,957 350,872 175,436 87,718 43,859 131,578 65,789 197,368 98,684 49,342 24,671 74,014 37,007 111,022 55,511 166,534 83,267 249,802 124,901 374,704 187,352 93,676 46,838

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