7,463,792

2⁴ × 7 × 103 × 647

7,463,792 has the prime decomposition 2^4 × 7 × 103 × 647. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 103 × 647

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 16,713,216

Proper Divisor Sum 9,249,424

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7463791 ← → #7463801

Radix Representation

Decimal	7463792
Binary	11100011110001101110000 (23 bits)
Octal	0o34361560
Hexadecimal	0x71E370

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 103 112 206 412 647 721 824 1,294 1,442 1,648 2,588 2,884 4,529 5,176 5,768 9,058 10,352 11,536 18,116 36,232 66,641 72,464 133,282 266,564 466,487 533,128 932,974 1,066,256 1,865,948 3,731,896 7,463,792

Collatz Trajectory (111 steps to reach 1)

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

7,463,792 3,731,896 1,865,948 932,974 466,487 1,399,462 699,731 2,099,194 1,049,597 3,148,792 1,574,396 787,198 393,599 1,180,798 590,399 1,771,198 885,599 2,656,798 1,328,399 3,985,198 1,992,599 5,977,798 2,988,899 8,966,698 4,483,349 13,450,048 6,725,024 3,362,512 1,681,256 840,628 420,314 210,157 630,472 315,236 157,618 78,809 236,428 118,214 59,107 177,322 88,661 265,984 132,992 66,496 33,248 16,624 8,312 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316

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