7,742,364

2² × 3 × 7 × 61 × 1511

7,742,364 has digital root 6. The neighboring primes are 7742353 and 7742387; its proper-divisor sum differs from the starting integer by 5,513,928.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 61 × 1511

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 20,998,656

Proper Divisor Sum 13,256,292

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7742353 ← → #7742387

Radix Representation

Decimal	7742364
Binary	11101100010001110011100 (23 bits)
Octal	0o35421634
Hexadecimal	0x76239C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1,281 1,511 1,708 2,562 3,022 4,533 5,124 6,044 9,066 10,577 18,132 21,154 31,731 42,308 63,462 92,171 126,924 184,342 276,513 368,684 553,026 645,197 1,106,052 1,290,394 1,935,591 2,580,788 3,871,182 7,742,364

Collatz Trajectory (186 steps to reach 1)

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

7,742,364 3,871,182 1,935,591 5,806,774 2,903,387 8,710,162 4,355,081 13,065,244 6,532,622 3,266,311 9,798,934 4,899,467 14,698,402 7,349,201 22,047,604 11,023,802 5,511,901 16,535,704 8,267,852 4,133,926 2,066,963 6,200,890 3,100,445 9,301,336 4,650,668 2,325,334 1,162,667 3,488,002 1,744,001 5,232,004 2,616,002 1,308,001 3,924,004 1,962,002 981,001 2,943,004 1,471,502 735,751 2,207,254 1,103,627 3,310,882 1,655,441 4,966,324 2,483,162 1,241,581 3,724,744 1,862,372 931,186 465,593 1,396,780 698,390 349,195 1,047,586 523,793 1,571,380 785,690 392,845 1,178,536 589,268 294,634

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