7,338,461

13 × 564497

Starting at 7,338,461, the Collatz iteration reaches 1 after 98 steps. The first transition is 22015384; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 564497

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,902,972

Proper Divisor Sum 564,511

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7338431 ← → #7338493

Radix Representation

Decimal	7338461
Binary	11011111111100111011101 (23 bits)
Octal	0o33774735
Hexadecimal	0x6FF9DD

Divisor Catalog (4)

1 13 564,497 7,338,461

Collatz Trajectory (98 steps to reach 1)

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

7,338,461 22,015,384 11,007,692 5,503,846 2,751,923 8,255,770 4,127,885 12,383,656 6,191,828 3,095,914 1,547,957 4,643,872 2,321,936 1,160,968 580,484 290,242 145,121 435,364 217,682 108,841 326,524 163,262 81,631 244,894 122,447 367,342 183,671 551,014 275,507 826,522 413,261 1,239,784 619,892 309,946 154,973 464,920 232,460 116,230 58,115 174,346 87,173 261,520 130,760 65,380 32,690 16,345 49,036 24,518 12,259 36,778 18,389 55,168 27,584 13,792 6,896 3,448 1,724 862 431 1,294

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