λ
Integer Codex

8,725,698

2 × 33 × 349 × 463
Abundant Even Composite

For 8,725,698, the 32 positive divisors have a total of 19,488,000. Removing 8,725,698 leaves 10,762,302, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^3 × 349 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,488,000
Proper Divisor Sum 10,762,302
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8725681 ← → #8725699

Radix Representation

Decimal 8725698
Binary 100001010010010011000010 (24 bits)
Octal 0o41222302
Hexadecimal 0x8524C2

Divisor Catalog (32)

1 2 3 6 9 18 27 54 349 463 698 926 1,047 1,389 2,094 2,778 3,141 4,167 6,282 8,334 9,423 12,501 18,846 25,002 161,587 323,174 484,761 969,522 1,454,283 2,908,566 4,362,849 8,725,698

Collatz Trajectory (150 steps to reach 1)

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

8,725,698 4,362,849 13,088,548 6,544,274 3,272,137 9,816,412 4,908,206 2,454,103 7,362,310 3,681,155 11,043,466 5,521,733 16,565,200 8,282,600 4,141,300 2,070,650 1,035,325 3,105,976 1,552,988 776,494 388,247 1,164,742 582,371 1,747,114 873,557 2,620,672 1,310,336 655,168 327,584 163,792 81,896 40,948 20,474 10,237 30,712 15,356 7,678 3,839 11,518 5,759 17,278 8,639 25,918 12,959 38,878 19,439 58,318 29,159 87,478 43,739 131,218 65,609 196,828 98,414 49,207 147,622 73,811 221,434 110,717 332,152

More profiles

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