2,506,985

5 × 13 × 38569

Starting at 2,506,985, the Collatz iteration reaches 1 after 174 steps. The first transition is 7520956; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 38569

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,239,880

Proper Divisor Sum 732,895

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #2506981 ← → #2506991

Radix Representation

Decimal	2506985
Binary	1001100100000011101001 (22 bits)
Octal	0o11440351
Hexadecimal	0x2640E9

Divisor Catalog (8)

1 5 13 65 38,569 192,845 501,397 2,506,985

Collatz Trajectory (174 steps to reach 1)

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

2,506,985 7,520,956 3,760,478 1,880,239 5,640,718 2,820,359 8,461,078 4,230,539 12,691,618 6,345,809 19,037,428 9,518,714 4,759,357 14,278,072 7,139,036 3,569,518 1,784,759 5,354,278 2,677,139 8,031,418 4,015,709 12,047,128 6,023,564 3,011,782 1,505,891 4,517,674 2,258,837 6,776,512 3,388,256 1,694,128 847,064 423,532 211,766 105,883 317,650 158,825 476,476 238,238 119,119 357,358 178,679 536,038 268,019 804,058 402,029 1,206,088 603,044 301,522 150,761 452,284 226,142 113,071 339,214 169,607 508,822 254,411 763,234 381,617 1,144,852 572,426

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