1,029,044

2² × 17 × 37 × 409

Starting at 1,029,044, the Collatz iteration reaches 1 after 196 steps. The first transition is 514522; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 37 × 409

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,963,080

Proper Divisor Sum 934,036

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #1029037 ← → #1029103

Radix Representation

Decimal	1029044
Binary	11111011001110110100 (20 bits)
Octal	0o3731664
Hexadecimal	0xFB3B4

Divisor Catalog (24)

1 2 4 17 34 37 68 74 148 409 629 818 1,258 1,636 2,516 6,953 13,906 15,133 27,812 30,266 60,532 257,261 514,522 1,029,044

Collatz Trajectory (196 steps to reach 1)

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

1,029,044 514,522 257,261 771,784 385,892 192,946 96,473 289,420 144,710 72,355 217,066 108,533 325,600 162,800 81,400 40,700 20,350 10,175 30,526 15,263 45,790 22,895 68,686 34,343 103,030 51,515 154,546 77,273 231,820 115,910 57,955 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184

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