λ
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Atlas › Integer Profiles › Node 7,997,296

7,997,296

24 × 41 × 73 × 167
Abundant Even Composite

7,997,296 factors as 2^4 × 41 × 73 × 167. Its 40 positive divisors give a proper-divisor sum of 8,189,168, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^4 × 41 × 73 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 16,186,464
Proper Divisor Sum 8,189,168
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #7997257 ← → #7997303

Radix Representation

Decimal 7997296
Binary 11110100000011101110000 (23 bits)
Octal 0o36403560
Hexadecimal 0x7A0770

Divisor Catalog (40)

1 2 4 8 16 41 73 82 146 164 167 292 328 334 584 656 668 1,168 1,336 2,672 2,993 5,986 6,847 11,972 12,191 13,694 23,944 24,382 27,388 47,888 48,764 54,776 97,528 109,552 195,056 499,831 999,662 1,999,324 3,998,648 7,997,296

Collatz Trajectory (155 steps to reach 1)

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

7,997,296 3,998,648 1,999,324 999,662 499,831 1,499,494 749,747 2,249,242 1,124,621 3,373,864 1,686,932 843,466 421,733 1,265,200 632,600 316,300 158,150 79,075 237,226 118,613 355,840 177,920 88,960 44,480 22,240 11,120 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242

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