1,778,812

2² × 7 × 17 × 37 × 101

Starting at 1,778,812, the Collatz iteration reaches 1 after 145 steps. The first transition is 889406; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 37 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 3,907,008

Proper Divisor Sum 2,128,196

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #1778807 ← → #1778813

Radix Representation

Decimal	1778812
Binary	110110010010001111100 (21 bits)
Octal	0o6622174
Hexadecimal	0x1B247C

Divisor Catalog (48)

1 2 4 7 14 17 28 34 37 68 74 101 119 148 202 238 259 404 476 518 629 707 1,036 1,258 1,414 1,717 2,516 2,828 3,434 3,737 4,403 6,868 7,474 8,806 12,019 14,948 17,612 24,038 26,159 48,076 52,318 63,529 104,636 127,058 254,116 444,703 889,406 1,778,812

Collatz Trajectory (145 steps to reach 1)

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

1,778,812 889,406 444,703 1,334,110 667,055 2,001,166 1,000,583 3,001,750 1,500,875 4,502,626 2,251,313 6,753,940 3,376,970 1,688,485 5,065,456 2,532,728 1,266,364 633,182 316,591 949,774 474,887 1,424,662 712,331 2,136,994 1,068,497 3,205,492 1,602,746 801,373 2,404,120 1,202,060 601,030 300,515 901,546 450,773 1,352,320 676,160 338,080 169,040 84,520 42,260 21,130 10,565 31,696 15,848 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883

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