7,583,288

2³ × 947911

Starting at 7,583,288, the Collatz iteration reaches 1 after 67 steps. The first transition is 3791644; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 947911

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,218,680

Proper Divisor Sum 6,635,392

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7583287 ← → #7583327

Radix Representation

Decimal	7583288
Binary	11100111011011000111000 (23 bits)
Octal	0o34733070
Hexadecimal	0x73B638

Divisor Catalog (8)

1 2 4 8 947,911 1,895,822 3,791,644 7,583,288

Collatz Trajectory (67 steps to reach 1)

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

7,583,288 3,791,644 1,895,822 947,911 2,843,734 1,421,867 4,265,602 2,132,801 6,398,404 3,199,202 1,599,601 4,798,804 2,399,402 1,199,701 3,599,104 1,799,552 899,776 449,888 224,944 112,472 56,236 28,118 14,059 42,178 21,089 63,268 31,634 15,817 47,452 23,726 11,863 35,590 17,795 53,386 26,693 80,080 40,040 20,020 10,010 5,005 15,016 7,508 3,754 1,877 5,632 2,816 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40

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