88,442,278

2 × 67² × 9851

88,442,278 factors as 2 × 67^2 × 9851. Its 12 positive divisors give a proper-divisor sum of 46,244,414, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2 × 67^2 × 9851

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 134,686,692

Proper Divisor Sum 46,244,414

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #88442267 ← → #88442309

Radix Representation

Decimal	88442278
Binary	101010001011000010110100110 (27 bits)
Octal	0o521302646
Hexadecimal	0x54585A6

Divisor Catalog (12)

1 2 67 134 4,489 8,978 9,851 19,702 660,017 1,320,034 44,221,139 88,442,278

Collatz Trajectory (130 steps to reach 1)

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

88,442,278 44,221,139 132,663,418 66,331,709 198,995,128 99,497,564 49,748,782 24,874,391 74,623,174 37,311,587 111,934,762 55,967,381 167,902,144 83,951,072 41,975,536 20,987,768 10,493,884 5,246,942 2,623,471 7,870,414 3,935,207 11,805,622 5,902,811 17,708,434 8,854,217 26,562,652 13,281,326 6,640,663 19,921,990 9,960,995 29,882,986 14,941,493 44,824,480 22,412,240 11,206,120 5,603,060 2,801,530 1,400,765 4,202,296 2,101,148 1,050,574 525,287 1,575,862 787,931 2,363,794 1,181,897 3,545,692 1,772,846 886,423 2,659,270 1,329,635 3,988,906 1,994,453 5,983,360 2,991,680 1,495,840 747,920 373,960 186,980 93,490

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