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Atlas › Integer Profiles › Node 5,621,992

5,621,992

23 × 43 × 59 × 277
Deficient Even Composite

5,621,992 factors as 2^3 × 43 × 59 × 277. Its 32 positive divisors give a proper-divisor sum of 5,386,808, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^3 × 43 × 59 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,008,800
Proper Divisor Sum 5,386,808
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5621989 ← → #5622007

Radix Representation

Decimal 5621992
Binary 10101011100100011101000 (23 bits)
Octal 0o25344350
Hexadecimal 0x55C8E8

Divisor Catalog (32)

1 2 4 8 43 59 86 118 172 236 277 344 472 554 1,108 2,216 2,537 5,074 10,148 11,911 16,343 20,296 23,822 32,686 47,644 65,372 95,288 130,744 702,749 1,405,498 2,810,996 5,621,992

Collatz Trajectory (157 steps to reach 1)

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

5,621,992 2,810,996 1,405,498 702,749 2,108,248 1,054,124 527,062 263,531 790,594 395,297 1,185,892 592,946 296,473 889,420 444,710 222,355 667,066 333,533 1,000,600 500,300 250,150 125,075 375,226 187,613 562,840 281,420 140,710 70,355 211,066 105,533 316,600 158,300 79,150 39,575 118,726 59,363 178,090 89,045 267,136 133,568 66,784 33,392 16,696 8,348 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991

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