9,893,874

2 × 3 × 37 × 41 × 1087

Starting at 9,893,874, the Collatz iteration reaches 1 after 207 steps. The first transition is 4946937; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 41 × 1087

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 20,837,376

Proper Divisor Sum 10,943,502

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #9893869 ← → #9893899

Radix Representation

Decimal	9893874
Binary	100101101111011111110010 (24 bits)
Octal	0o45573762
Hexadecimal	0x96F7F2

Divisor Catalog (32)

1 2 3 6 37 41 74 82 111 123 222 246 1,087 1,517 2,174 3,034 3,261 4,551 6,522 9,102 40,219 44,567 80,438 89,134 120,657 133,701 241,314 267,402 1,648,979 3,297,958 4,946,937 9,893,874

Collatz Trajectory (207 steps to reach 1)

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

9,893,874 4,946,937 14,840,812 7,420,406 3,710,203 11,130,610 5,565,305 16,695,916 8,347,958 4,173,979 12,521,938 6,260,969 18,782,908 9,391,454 4,695,727 14,087,182 7,043,591 21,130,774 10,565,387 31,696,162 15,848,081 47,544,244 23,772,122 11,886,061 35,658,184 17,829,092 8,914,546 4,457,273 13,371,820 6,685,910 3,342,955 10,028,866 5,014,433 15,043,300 7,521,650 3,760,825 11,282,476 5,641,238 2,820,619 8,461,858 4,230,929 12,692,788 6,346,394 3,173,197 9,519,592 4,759,796 2,379,898 1,189,949 3,569,848 1,784,924 892,462 446,231 1,338,694 669,347 2,008,042 1,004,021 3,012,064 1,506,032 753,016 376,508

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