λ
Integer Codex

7,656,013

349 × 21937
Deficient Odd Composite

For 7,656,013, the 4 positive divisors have a total of 7,678,300. Removing 7,656,013 leaves 22,287, which gives the deficient classification.

Prime Factor Structure

Factorization String 349 × 21937
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,678,300
Proper Divisor Sum 22,287
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7656007 ← → #7656041

Radix Representation

Decimal 7656013
Binary 11101001101001001001101 (23 bits)
Octal 0o35151115
Hexadecimal 0x74D24D

Divisor Catalog (4)

1 349 21,937 7,656,013

Collatz Trajectory (173 steps to reach 1)

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

7,656,013 22,968,040 11,484,020 5,742,010 2,871,005 8,613,016 4,306,508 2,153,254 1,076,627 3,229,882 1,614,941 4,844,824 2,422,412 1,211,206 605,603 1,816,810 908,405 2,725,216 1,362,608 681,304 340,652 170,326 85,163 255,490 127,745 383,236 191,618 95,809 287,428 143,714 71,857 215,572 107,786 53,893 161,680 80,840 40,420 20,210 10,105 30,316 15,158 7,579 22,738 11,369 34,108 17,054 8,527 25,582 12,791 38,374 19,187 57,562 28,781 86,344 43,172 21,586 10,793 32,380 16,190 8,095

More profiles

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