1,090,495

5 × 7² × 4451

Starting at 1,090,495, the Collatz iteration reaches 1 after 178 steps. The first transition is 3271486; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5 × 7^2 × 4451

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,522,584

Proper Divisor Sum 432,089

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1090493 ← → #1090519

Radix Representation

Decimal	1090495
Binary	100001010001110111111 (21 bits)
Octal	0o4121677
Hexadecimal	0x10A3BF

Divisor Catalog (12)

1 5 7 35 49 245 4,451 22,255 31,157 155,785 218,099 1,090,495

Collatz Trajectory (178 steps to reach 1)

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

1,090,495 3,271,486 1,635,743 4,907,230 2,453,615 7,360,846 3,680,423 11,041,270 5,520,635 16,561,906 8,280,953 24,842,860 12,421,430 6,210,715 18,632,146 9,316,073 27,948,220 13,974,110 6,987,055 20,961,166 10,480,583 31,441,750 15,720,875 47,162,626 23,581,313 70,743,940 35,371,970 17,685,985 53,057,956 26,528,978 13,264,489 39,793,468 19,896,734 9,948,367 29,845,102 14,922,551 44,767,654 22,383,827 67,151,482 33,575,741 100,727,224 50,363,612 25,181,806 12,590,903 37,772,710 18,886,355 56,659,066 28,329,533 84,988,600 42,494,300 21,247,150 10,623,575 31,870,726 15,935,363 47,806,090 23,903,045 71,709,136 35,854,568 17,927,284 8,963,642

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