32,626,942

2 × 31 × 113 × 4657

32,626,942 factors as 2 × 31 × 113 × 4657. Its 16 positive divisors give a proper-divisor sum of 18,350,210, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2 × 31 × 113 × 4657

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 50,977,152

Proper Divisor Sum 18,350,210

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #32626901 ← → #32626967

Radix Representation

Decimal	32626942
Binary	1111100011101100011111110 (25 bits)
Octal	0o174354376
Hexadecimal	0x1F1D8FE

Divisor Catalog (16)

1 2 31 62 113 226 3,503 4,657 7,006 9,314 144,367 288,734 526,241 1,052,482 16,313,471 32,626,942

Collatz Trajectory (144 steps to reach 1)

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

32,626,942 16,313,471 48,940,414 24,470,207 73,410,622 36,705,311 110,115,934 55,057,967 165,173,902 82,586,951 247,760,854 123,880,427 371,641,282 185,820,641 557,461,924 278,730,962 139,365,481 418,096,444 209,048,222 104,524,111 313,572,334 156,786,167 470,358,502 235,179,251 705,537,754 352,768,877 1,058,306,632 529,153,316 264,576,658 132,288,329 396,864,988 198,432,494 99,216,247 297,648,742 148,824,371 446,473,114 223,236,557 669,709,672 334,854,836 167,427,418 83,713,709 251,141,128 125,570,564 62,785,282 31,392,641 94,177,924 47,088,962 23,544,481 70,633,444 35,316,722 17,658,361 52,975,084 26,487,542 13,243,771 39,731,314 19,865,657 59,596,972 29,798,486 14,899,243 44,697,730

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