λ
Integer Codex

1,027,355

5 × 7 × 149 × 197
Deficient Odd Composite

For 1,027,355, the 16 positive divisors have a total of 1,425,600. Removing 1,027,355 leaves 398,245, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 7 × 149 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,425,600
Proper Divisor Sum 398,245
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1027331 ← → #1027357

Radix Representation

Decimal 1027355
Binary 11111010110100011011 (20 bits)
Octal 0o3726433
Hexadecimal 0xFAD1B

Divisor Catalog (16)

1 5 7 35 149 197 745 985 1,043 1,379 5,215 6,895 29,353 146,765 205,471 1,027,355

Collatz Trajectory (214 steps to reach 1)

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

1,027,355 3,082,066 1,541,033 4,623,100 2,311,550 1,155,775 3,467,326 1,733,663 5,200,990 2,600,495 7,801,486 3,900,743 11,702,230 5,851,115 17,553,346 8,776,673 26,330,020 13,165,010 6,582,505 19,747,516 9,873,758 4,936,879 14,810,638 7,405,319 22,215,958 11,107,979 33,323,938 16,661,969 49,985,908 24,992,954 12,496,477 37,489,432 18,744,716 9,372,358 4,686,179 14,058,538 7,029,269 21,087,808 10,543,904 5,271,952 2,635,976 1,317,988 658,994 329,497 988,492 494,246 247,123 741,370 370,685 1,112,056 556,028 278,014 139,007 417,022 208,511 625,534 312,767 938,302 469,151 1,407,454

More profiles

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