1,127,763

3⁶ × 7 × 13 × 17

Starting at 1,127,763, the Collatz iteration reaches 1 after 271 steps. The first transition is 3383290; the starting value is odd with 56 positive divisors.

Prime Factor Structure

Factorization String 3^6 × 7 × 13 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 2,203,488

Proper Divisor Sum 1,075,725

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1127741 ← → #1127767

Radix Representation

Decimal	1127763
Binary	100010011010101010011 (21 bits)
Octal	0o4232523
Hexadecimal	0x113553

Divisor Catalog (56)

1 3 7 9 13 17 21 27 39 51 63 81 91 117 119 153 189 221 243 273 351 357 459 567 663 729 819 1,053 1,071 1,377 1,547 1,701 1,989 2,457 3,159 3,213 4,131 4,641 5,103 5,967 7,371 9,477 9,639 12,393 13,923 17,901 22,113 28,917 41,769 53,703 66,339 86,751 125,307 161,109 375,921 1,127,763

Collatz Trajectory (271 steps to reach 1)

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

1,127,763 3,383,290 1,691,645 5,074,936 2,537,468 1,268,734 634,367 1,903,102 951,551 2,854,654 1,427,327 4,281,982 2,140,991 6,422,974 3,211,487 9,634,462 4,817,231 14,451,694 7,225,847 21,677,542 10,838,771 32,516,314 16,258,157 48,774,472 24,387,236 12,193,618 6,096,809 18,290,428 9,145,214 4,572,607 13,717,822 6,858,911 20,576,734 10,288,367 30,865,102 15,432,551 46,297,654 23,148,827 69,446,482 34,723,241 104,169,724 52,084,862 26,042,431 78,127,294 39,063,647 117,190,942 58,595,471 175,786,414 87,893,207 263,679,622 131,839,811 395,519,434 197,759,717 593,279,152 296,639,576 148,319,788 74,159,894 37,079,947 111,239,842 55,619,921

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