1,187,824

2⁴ × 11 × 17 × 397

Starting at 1,187,824, the Collatz iteration reaches 1 after 235 steps. The first transition is 593912; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 11 × 17 × 397

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 2,665,008

Proper Divisor Sum 1,477,184

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1187821 ← → #1187833

Radix Representation

Decimal	1187824
Binary	100100001111111110000 (21 bits)
Octal	0o4417760
Hexadecimal	0x121FF0

Divisor Catalog (40)

1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 397 748 794 1,496 1,588 2,992 3,176 4,367 6,352 6,749 8,734 13,498 17,468 26,996 34,936 53,992 69,872 74,239 107,984 148,478 296,956 593,912 1,187,824

Collatz Trajectory (235 steps to reach 1)

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

1,187,824 593,912 296,956 148,478 74,239 222,718 111,359 334,078 167,039 501,118 250,559 751,678 375,839 1,127,518 563,759 1,691,278 845,639 2,536,918 1,268,459 3,805,378 1,902,689 5,708,068 2,854,034 1,427,017 4,281,052 2,140,526 1,070,263 3,210,790 1,605,395 4,816,186 2,408,093 7,224,280 3,612,140 1,806,070 903,035 2,709,106 1,354,553 4,063,660 2,031,830 1,015,915 3,047,746 1,523,873 4,571,620 2,285,810 1,142,905 3,428,716 1,714,358 857,179 2,571,538 1,285,769 3,857,308 1,928,654 964,327 2,892,982 1,446,491 4,339,474 2,169,737 6,509,212 3,254,606 1,627,303

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