2,828,839

13 × 23 × 9461

Starting at 2,828,839, the Collatz iteration reaches 1 after 107 steps. The first transition is 8486518; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 23 × 9461

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,179,232

Proper Divisor Sum 350,393

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #2828809 ← → #2828857

Radix Representation

Decimal	2828839
Binary	1010110010101000100111 (22 bits)
Octal	0o12625047
Hexadecimal	0x2B2A27

Divisor Catalog (8)

1 13 23 299 9,461 122,993 217,603 2,828,839

Collatz Trajectory (107 steps to reach 1)

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

2,828,839 8,486,518 4,243,259 12,729,778 6,364,889 19,094,668 9,547,334 4,773,667 14,321,002 7,160,501 21,481,504 10,740,752 5,370,376 2,685,188 1,342,594 671,297 2,013,892 1,006,946 503,473 1,510,420 755,210 377,605 1,132,816 566,408 283,204 141,602 70,801 212,404 106,202 53,101 159,304 79,652 39,826 19,913 59,740 29,870 14,935 44,806 22,403 67,210 33,605 100,816 50,408 25,204 12,602 6,301 18,904 9,452 4,726 2,363 7,090 3,545 10,636 5,318 2,659 7,978 3,989 11,968 5,984 2,992

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