λ
Ratio Atlas

40,972,798

2 × 23 × 599 × 1487
Deficient Even Composite

40,972,798 factors as 2 × 23 × 599 × 1487. Its 16 positive divisors give a proper-divisor sum of 23,308,802, so this integer is deficient. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2 × 23 × 599 × 1487
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 64,281,600
Proper Divisor Sum 23,308,802
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #40972787 ← → #40972807

Radix Representation

Decimal 40972798
Binary 10011100010011000111111110 (26 bits)
Octal 0o234230776
Hexadecimal 0x27131FE

Divisor Catalog (16)

Collatz Trajectory (240 steps to reach 1)

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

40,972,798 20,486,399 61,459,198 30,729,599 92,188,798 46,094,399 138,283,198 69,141,599 207,424,798 103,712,399 311,137,198 155,568,599 466,705,798 233,352,899 700,058,698 350,029,349 1,050,088,048 525,044,024 262,522,012 131,261,006 65,630,503 196,891,510 98,445,755 295,337,266 147,668,633 443,005,900 221,502,950 110,751,475 332,254,426 166,127,213 498,381,640 249,190,820 124,595,410 62,297,705 186,893,116 93,446,558 46,723,279 140,169,838 70,084,919 210,254,758 105,127,379 315,382,138 157,691,069 473,073,208 236,536,604 118,268,302 59,134,151 177,402,454 88,701,227 266,103,682 133,051,841 399,155,524 199,577,762 99,788,881 299,366,644 149,683,322 74,841,661 224,524,984 112,262,492 56,131,246

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