λ
Integer Codex

6,046,365

3 × 5 × 13 × 101 × 307
Deficient Odd Composite

For 6,046,365, the 32 positive divisors have a total of 10,555,776. Removing 6,046,365 leaves 4,509,411, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 101 × 307
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,555,776
Proper Divisor Sum 4,509,411
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6046363 ← → #6046387

Radix Representation

Decimal 6046365
Binary 10111000100001010011101 (23 bits)
Octal 0o27041235
Hexadecimal 0x5C429D

Divisor Catalog (32)

1 3 5 13 15 39 65 101 195 303 307 505 921 1,313 1,515 1,535 3,939 3,991 4,605 6,565 11,973 19,695 19,955 31,007 59,865 93,021 155,035 403,091 465,105 1,209,273 2,015,455 6,046,365

Collatz Trajectory (95 steps to reach 1)

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

6,046,365 18,139,096 9,069,548 4,534,774 2,267,387 6,802,162 3,401,081 10,203,244 5,101,622 2,550,811 7,652,434 3,826,217 11,478,652 5,739,326 2,869,663 8,608,990 4,304,495 12,913,486 6,456,743 19,370,230 9,685,115 29,055,346 14,527,673 43,583,020 21,791,510 10,895,755 32,687,266 16,343,633 49,030,900 24,515,450 12,257,725 36,773,176 18,386,588 9,193,294 4,596,647 13,789,942 6,894,971 20,684,914 10,342,457 31,027,372 15,513,686 7,756,843 23,270,530 11,635,265 34,905,796 17,452,898 8,726,449 26,179,348 13,089,674 6,544,837 19,634,512 9,817,256 4,908,628 2,454,314 1,227,157 3,681,472 1,840,736 920,368 460,184 230,092

More profiles

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