2,583,297

3² × 19 × 15107

Starting at 2,583,297, the Collatz iteration reaches 1 after 156 steps. The first transition is 7749892; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 19 × 15107

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,928,080

Proper Divisor Sum 1,344,783

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2583283 ← → #2583299

Radix Representation

Decimal	2583297
Binary	1001110110101100000001 (22 bits)
Octal	0o11665401
Hexadecimal	0x276B01

Divisor Catalog (12)

1 3 9 19 57 171 15,107 45,321 135,963 287,033 861,099 2,583,297

Collatz Trajectory (156 steps to reach 1)

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

2,583,297 7,749,892 3,874,946 1,937,473 5,812,420 2,906,210 1,453,105 4,359,316 2,179,658 1,089,829 3,269,488 1,634,744 817,372 408,686 204,343 613,030 306,515 919,546 459,773 1,379,320 689,660 344,830 172,415 517,246 258,623 775,870 387,935 1,163,806 581,903 1,745,710 872,855 2,618,566 1,309,283 3,927,850 1,963,925 5,891,776 2,945,888 1,472,944 736,472 368,236 184,118 92,059 276,178 138,089 414,268 207,134 103,567 310,702 155,351 466,054 233,027 699,082 349,541 1,048,624 524,312 262,156 131,078 65,539 196,618 98,309

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