2,977,459

29 × 83 × 1237

Starting at 2,977,459, the Collatz iteration reaches 1 after 182 steps. The first transition is 8932378; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 29 × 83 × 1237

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,119,760

Proper Divisor Sum 142,301

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #2977441 ← → #2977493

Radix Representation

Decimal	2977459
Binary	1011010110111010110011 (22 bits)
Octal	0o13267263
Hexadecimal	0x2D6EB3

Divisor Catalog (8)

1 29 83 1,237 2,407 35,873 102,671 2,977,459

Collatz Trajectory (182 steps to reach 1)

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

2,977,459 8,932,378 4,466,189 13,398,568 6,699,284 3,349,642 1,674,821 5,024,464 2,512,232 1,256,116 628,058 314,029 942,088 471,044 235,522 117,761 353,284 176,642 88,321 264,964 132,482 66,241 198,724 99,362 49,681 149,044 74,522 37,261 111,784 55,892 27,946 13,973 41,920 20,960 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158

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