λ
Integer Codex

1,337,895

32 × 5 × 13 × 2287
Deficient Odd Composite

For 1,337,895, the 24 positive divisors have a total of 2,498,496. Removing 1,337,895 leaves 1,160,601, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 2287
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,498,496
Proper Divisor Sum 1,160,601
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1337891 ← → #1337899

Radix Representation

Decimal 1337895
Binary 101000110101000100111 (21 bits)
Octal 0o5065047
Hexadecimal 0x146A27

Divisor Catalog (24)

1 3 5 9 13 15 39 45 65 117 195 585 2,287 6,861 11,435 20,583 29,731 34,305 89,193 102,915 148,655 267,579 445,965 1,337,895

Collatz Trajectory (168 steps to reach 1)

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

1,337,895 4,013,686 2,006,843 6,020,530 3,010,265 9,030,796 4,515,398 2,257,699 6,773,098 3,386,549 10,159,648 5,079,824 2,539,912 1,269,956 634,978 317,489 952,468 476,234 238,117 714,352 357,176 178,588 89,294 44,647 133,942 66,971 200,914 100,457 301,372 150,686 75,343 226,030 113,015 339,046 169,523 508,570 254,285 762,856 381,428 190,714 95,357 286,072 143,036 71,518 35,759 107,278 53,639 160,918 80,459 241,378 120,689 362,068 181,034 90,517 271,552 135,776 67,888 33,944 16,972 8,486

More profiles

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