2,974,797

3² × 7 × 23 × 2053

Starting at 2,974,797, the Collatz iteration reaches 1 after 138 steps. The first transition is 8924392; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 23 × 2053

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,126,784

Proper Divisor Sum 2,151,987

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #2974789 ← → #2974799

Radix Representation

Decimal	2974797
Binary	1011010110010001001101 (22 bits)
Octal	0o13262115
Hexadecimal	0x2D644D

Divisor Catalog (24)

1 3 7 9 21 23 63 69 161 207 483 1,449 2,053 6,159 14,371 18,477 43,113 47,219 129,339 141,657 330,533 424,971 991,599 2,974,797

Collatz Trajectory (138 steps to reach 1)

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

2,974,797 8,924,392 4,462,196 2,231,098 1,115,549 3,346,648 1,673,324 836,662 418,331 1,254,994 627,497 1,882,492 941,246 470,623 1,411,870 705,935 2,117,806 1,058,903 3,176,710 1,588,355 4,765,066 2,382,533 7,147,600 3,573,800 1,786,900 893,450 446,725 1,340,176 670,088 335,044 167,522 83,761 251,284 125,642 62,821 188,464 94,232 47,116 23,558 11,779 35,338 17,669 53,008 26,504 13,252 6,626 3,313 9,940 4,970 2,485 7,456 3,728 1,864 932 466 233 700 350 175 526

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