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Atlas › Integer Profiles › Node 4,458,428

4,458,428

22 × 13 × 83 × 1033
Deficient Even Composite

4,458,428 factors as 2^2 × 13 × 83 × 1033. Its 24 positive divisors give a proper-divisor sum of 4,053,460, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 83 × 1033
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,511,888
Proper Divisor Sum 4,053,460
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4458409 ← → #4458457

Radix Representation

Decimal 4458428
Binary 10001000000011110111100 (23 bits)
Octal 0o21003674
Hexadecimal 0x4407BC

Divisor Catalog (24)

1 2 4 13 26 52 83 166 332 1,033 1,079 2,066 2,158 4,132 4,316 13,429 26,858 53,716 85,739 171,478 342,956 1,114,607 2,229,214 4,458,428

Collatz Trajectory (118 steps to reach 1)

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

4,458,428 2,229,214 1,114,607 3,343,822 1,671,911 5,015,734 2,507,867 7,523,602 3,761,801 11,285,404 5,642,702 2,821,351 8,464,054 4,232,027 12,696,082 6,348,041 19,044,124 9,522,062 4,761,031 14,283,094 7,141,547 21,424,642 10,712,321 32,136,964 16,068,482 8,034,241 24,102,724 12,051,362 6,025,681 18,077,044 9,038,522 4,519,261 13,557,784 6,778,892 3,389,446 1,694,723 5,084,170 2,542,085 7,626,256 3,813,128 1,906,564 953,282 476,641 1,429,924 714,962 357,481 1,072,444 536,222 268,111 804,334 402,167 1,206,502 603,251 1,809,754 904,877 2,714,632 1,357,316 678,658 339,329 1,017,988

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