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Atlas › Integer Profiles › Node 46,240,010

46,240,010

2 × 5 × 37 × 47 × 2659
Deficient Even Composite

46,240,010 factors as 2 × 5 × 37 × 47 × 2659. Its 32 positive divisors give a proper-divisor sum of 41,093,110, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 5 × 37 × 47 × 2659
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 87,333,120
Proper Divisor Sum 41,093,110
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #46240001 ← → #46240021

Radix Representation

Decimal 46240010
Binary 10110000011001000100001010 (26 bits)
Octal 0o260310412
Hexadecimal 0x2C1910A

Divisor Catalog (32)

1 2 5 10 37 47 74 94 185 235 370 470 1,739 2,659 3,478 5,318 8,695 13,295 17,390 26,590 98,383 124,973 196,766 249,946 491,915 624,865 983,830 1,249,730 4,624,001 9,248,002 23,120,005 46,240,010

Collatz Trajectory (155 steps to reach 1)

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

46,240,010 23,120,005 69,360,016 34,680,008 17,340,004 8,670,002 4,335,001 13,005,004 6,502,502 3,251,251 9,753,754 4,876,877 14,630,632 7,315,316 3,657,658 1,828,829 5,486,488 2,743,244 1,371,622 685,811 2,057,434 1,028,717 3,086,152 1,543,076 771,538 385,769 1,157,308 578,654 289,327 867,982 433,991 1,301,974 650,987 1,952,962 976,481 2,929,444 1,464,722 732,361 2,197,084 1,098,542 549,271 1,647,814 823,907 2,471,722 1,235,861 3,707,584 1,853,792 926,896 463,448 231,724 115,862 57,931 173,794 86,897 260,692 130,346 65,173 195,520 97,760 48,880

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