λ
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Atlas › Integer Profiles › Node 27,416,002

27,416,002

2 × 17 × 59 × 79 × 173
Deficient Even Composite

27,416,002 factors as 2 × 17 × 59 × 79 × 173. Its 32 positive divisors give a proper-divisor sum of 17,684,798, so this integer is deficient. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 2 × 17 × 59 × 79 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 45,100,800
Proper Divisor Sum 17,684,798
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #27415987 ← → #27416009

Radix Representation

Decimal 27416002
Binary 1101000100101010111000010 (25 bits)
Octal 0o150452702
Hexadecimal 0x1A255C2

Divisor Catalog (32)

1 2 17 34 59 79 118 158 173 346 1,003 1,343 2,006 2,686 2,941 4,661 5,882 9,322 10,207 13,667 20,414 27,334 79,237 158,474 173,519 232,339 347,038 464,678 806,353 1,612,706 13,708,001 27,416,002

Collatz Trajectory (255 steps to reach 1)

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

27,416,002 13,708,001 41,124,004 20,562,002 10,281,001 30,843,004 15,421,502 7,710,751 23,132,254 11,566,127 34,698,382 17,349,191 52,047,574 26,023,787 78,071,362 39,035,681 117,107,044 58,553,522 29,276,761 87,830,284 43,915,142 21,957,571 65,872,714 32,936,357 98,809,072 49,404,536 24,702,268 12,351,134 6,175,567 18,526,702 9,263,351 27,790,054 13,895,027 41,685,082 20,842,541 62,527,624 31,263,812 15,631,906 7,815,953 23,447,860 11,723,930 5,861,965 17,585,896 8,792,948 4,396,474 2,198,237 6,594,712 3,297,356 1,648,678 824,339 2,473,018 1,236,509 3,709,528 1,854,764 927,382 463,691 1,391,074 695,537 2,086,612 1,043,306

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