λ
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7,523,960

23 × 5 × 79 × 2381
Abundant Even Composite

7,523,960 factors as 2^3 × 5 × 79 × 2381. Its 32 positive divisors give a proper-divisor sum of 9,626,440, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 79 × 2381
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,150,400
Proper Divisor Sum 9,626,440
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7523953 ← → #7523969

Radix Representation

Decimal 7523960
Binary 11100101100111001111000 (23 bits)
Octal 0o34547170
Hexadecimal 0x72CE78

Divisor Catalog (32)

1 2 4 5 8 10 20 40 79 158 316 395 632 790 1,580 2,381 3,160 4,762 9,524 11,905 19,048 23,810 47,620 95,240 188,099 376,198 752,396 940,495 1,504,792 1,880,990 3,761,980 7,523,960

Collatz Trajectory (155 steps to reach 1)

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

7,523,960 3,761,980 1,880,990 940,495 2,821,486 1,410,743 4,232,230 2,116,115 6,348,346 3,174,173 9,522,520 4,761,260 2,380,630 1,190,315 3,570,946 1,785,473 5,356,420 2,678,210 1,339,105 4,017,316 2,008,658 1,004,329 3,012,988 1,506,494 753,247 2,259,742 1,129,871 3,389,614 1,694,807 5,084,422 2,542,211 7,626,634 3,813,317 11,439,952 5,719,976 2,859,988 1,429,994 714,997 2,144,992 1,072,496 536,248 268,124 134,062 67,031 201,094 100,547 301,642 150,821 452,464 226,232 113,116 56,558 28,279 84,838 42,419 127,258 63,629 190,888 95,444 47,722

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