λ
Zalai Atlas

7,572,379

1319 × 5741
Deficient Odd Composite

7,572,379 has the prime decomposition 1319 × 5741. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 1319 × 5741
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,579,440
Proper Divisor Sum 7,061
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7572373 ← → #7572391

Radix Representation

Decimal 7572379
Binary 11100111000101110011011 (23 bits)
Octal 0o34705633
Hexadecimal 0x738B9B

Divisor Catalog (4)

1 1,319 5,741 7,572,379

Collatz Trajectory (248 steps to reach 1)

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

7,572,379 22,717,138 11,358,569 34,075,708 17,037,854 8,518,927 25,556,782 12,778,391 38,335,174 19,167,587 57,502,762 28,751,381 86,254,144 43,127,072 21,563,536 10,781,768 5,390,884 2,695,442 1,347,721 4,043,164 2,021,582 1,010,791 3,032,374 1,516,187 4,548,562 2,274,281 6,822,844 3,411,422 1,705,711 5,117,134 2,558,567 7,675,702 3,837,851 11,513,554 5,756,777 17,270,332 8,635,166 4,317,583 12,952,750 6,476,375 19,429,126 9,714,563 29,143,690 14,571,845 43,715,536 21,857,768 10,928,884 5,464,442 2,732,221 8,196,664 4,098,332 2,049,166 1,024,583 3,073,750 1,536,875 4,610,626 2,305,313 6,915,940 3,457,970 1,728,985

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