42,017,007

3 × 83 × 168743

Prime Factor Structure

Factorization String 3 × 83 × 168743

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 56,697,984

Proper Divisor Sum 14,680,977

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #42016963 ← → #42017023

Radix Representation

Decimal	42017007
Binary	10100000010010000011101111 (26 bits)
Octal	0o240220357
Hexadecimal	0x28120EF

Divisor Catalog (8)

1 3 83 249 168,743 506,229 14,005,669 42,017,007

Collatz Trajectory (253 steps to reach 1)

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

42,017,007 126,051,022 63,025,511 189,076,534 94,538,267 283,614,802 141,807,401 425,422,204 212,711,102 106,355,551 319,066,654 159,533,327 478,599,982 239,299,991 717,899,974 358,949,987 1,076,849,962 538,424,981 1,615,274,944 807,637,472 403,818,736 201,909,368 100,954,684 50,477,342 25,238,671 75,716,014 37,858,007 113,574,022 56,787,011 170,361,034 85,180,517 255,541,552 127,770,776 63,885,388 31,942,694 15,971,347 47,914,042 23,957,021 71,871,064 35,935,532 17,967,766 8,983,883 26,951,650 13,475,825 40,427,476 20,213,738 10,106,869 30,320,608 15,160,304 7,580,152 3,790,076 1,895,038 947,519 2,842,558 1,421,279 4,263,838 2,131,919 6,395,758 3,197,879 9,593,638

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