7,585,896

2³ × 3 × 79 × 4001

Starting at 7,585,896, the Collatz iteration reaches 1 after 142 steps. The first transition is 3792948; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 79 × 4001

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 19,209,600

Proper Divisor Sum 11,623,704

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #7585873 ← → #7585909

Radix Representation

Decimal	7585896
Binary	11100111100000001101000 (23 bits)
Octal	0o34740150
Hexadecimal	0x73C068

Divisor Catalog (32)

1 2 3 4 6 8 12 24 79 158 237 316 474 632 948 1,896 4,001 8,002 12,003 16,004 24,006 32,008 48,012 96,024 316,079 632,158 948,237 1,264,316 1,896,474 2,528,632 3,792,948 7,585,896

Collatz Trajectory (142 steps to reach 1)

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

7,585,896 3,792,948 1,896,474 948,237 2,844,712 1,422,356 711,178 355,589 1,066,768 533,384 266,692 133,346 66,673 200,020 100,010 50,005 150,016 75,008 37,504 18,752 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

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