4,457,089

7² × 13 × 6997

4,457,089 factors as 7^2 × 13 × 6997. Its 12 positive divisors give a proper-divisor sum of 1,127,315, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 7^2 × 13 × 6997

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,584,404

Proper Divisor Sum 1,127,315

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4456997 ← → #4457093

Radix Representation

Decimal	4457089
Binary	10001000000001010000001 (23 bits)
Octal	0o21001201
Hexadecimal	0x440281

Divisor Catalog (12)

1 7 13 49 91 637 6,997 48,979 90,961 342,853 636,727 4,457,089

Collatz Trajectory (180 steps to reach 1)

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

4,457,089 13,371,268 6,685,634 3,342,817 10,028,452 5,014,226 2,507,113 7,521,340 3,760,670 1,880,335 5,641,006 2,820,503 8,461,510 4,230,755 12,692,266 6,346,133 19,038,400 9,519,200 4,759,600 2,379,800 1,189,900 594,950 297,475 892,426 446,213 1,338,640 669,320 334,660 167,330 83,665 250,996 125,498 62,749 188,248 94,124 47,062 23,531 70,594 35,297 105,892 52,946 26,473 79,420 39,710 19,855 59,566 29,783 89,350 44,675 134,026 67,013 201,040 100,520 50,260 25,130 12,565 37,696 18,848 9,424 4,712

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