7,722,458

2 × 401 × 9629

Starting at 7,722,458, the Collatz iteration reaches 1 after 98 steps. The first transition is 3861229; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 401 × 9629

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,613,780

Proper Divisor Sum 3,891,322

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7722443 ← → #7722467

Radix Representation

Decimal	7722458
Binary	11101011101010111011010 (23 bits)
Octal	0o35352732
Hexadecimal	0x75D5DA

Divisor Catalog (8)

1 2 401 802 9,629 19,258 3,861,229 7,722,458

Collatz Trajectory (98 steps to reach 1)

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

7,722,458 3,861,229 11,583,688 5,791,844 2,895,922 1,447,961 4,343,884 2,171,942 1,085,971 3,257,914 1,628,957 4,886,872 2,443,436 1,221,718 610,859 1,832,578 916,289 2,748,868 1,374,434 687,217 2,061,652 1,030,826 515,413 1,546,240 773,120 386,560 193,280 96,640 48,320 24,160 12,080 6,040 3,020 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367

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