λ
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Atlas › Integer Profiles › Node 40,596,171

40,596,171

3 × 7 × 11 × 43 × 61 × 67
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 11 × 43 × 61 × 67
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 71,233,536
Proper Divisor Sum 30,637,365
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #40596169 ← → #40596181

Radix Representation

Decimal 40596171
Binary 10011010110111001011001011 (26 bits)
Octal 0o232671313
Hexadecimal 0x26B72CB

Divisor Catalog (60 of 64)

1 3 7 11 21 33 43 61 67 77 129 183 201 231 301 427 469 473 671 737 903 1,281 1,407 1,419 2,013 2,211 2,623 2,881 3,311 4,087 4,697 5,159 7,869 8,643 9,933 12,261 14,091 15,477 18,361 20,167 28,609 28,853 31,691 44,957 55,083 60,501 85,827 86,559 95,073 134,871 175,741 201,971 221,837 314,699 527,223 605,913 665,511 944,097 1,230,187 1,933,151

Collatz Trajectory (108 steps to reach 1)

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

40,596,171 121,788,514 60,894,257 182,682,772 91,341,386 45,670,693 137,012,080 68,506,040 34,253,020 17,126,510 8,563,255 25,689,766 12,844,883 38,534,650 19,267,325 57,801,976 28,900,988 14,450,494 7,225,247 21,675,742 10,837,871 32,513,614 16,256,807 48,770,422 24,385,211 73,155,634 36,577,817 109,733,452 54,866,726 27,433,363 82,300,090 41,150,045 123,450,136 61,725,068 30,862,534 15,431,267 46,293,802 23,146,901 69,440,704 34,720,352 17,360,176 8,680,088 4,340,044 2,170,022 1,085,011 3,255,034 1,627,517 4,882,552 2,441,276 1,220,638 610,319 1,830,958 915,479 2,746,438 1,373,219 4,119,658 2,059,829 6,179,488 3,089,744 1,544,872

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