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Atlas › Integer Profiles › Node 40,972,797

40,972,797

34 × 19 × 79 × 337
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 19 × 79 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 65,436,800
Proper Divisor Sum 24,464,003
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #40972787 ← → #40972807

Radix Representation

Decimal 40972797
Binary 10011100010011000111111101 (26 bits)
Octal 0o234230775
Hexadecimal 0x27131FD

Divisor Catalog (40)

1 3 9 19 27 57 79 81 171 237 337 513 711 1,011 1,501 1,539 2,133 3,033 4,503 6,399 6,403 9,099 13,509 19,209 26,623 27,297 40,527 57,627 79,869 121,581 172,881 239,607 505,837 518,643 718,821 1,517,511 2,156,463 4,552,533 13,657,599 40,972,797

Collatz Trajectory (240 steps to reach 1)

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

40,972,797 122,918,392 61,459,196 30,729,598 15,364,799 46,094,398 23,047,199 69,141,598 34,570,799 103,712,398 51,856,199 155,568,598 77,784,299 233,352,898 116,676,449 350,029,348 175,014,674 87,507,337 262,522,012 131,261,006 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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