10,402,769

13 × 800213

10,402,769 factors as 13 × 800213. Its 4 positive divisors give a proper-divisor sum of 800,227, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 13 × 800213

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 11,202,996

Proper Divisor Sum 800,227

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #10402753 ← → #10402771

Radix Representation

Decimal	10402769
Binary	100111101011101111010001 (24 bits)
Octal	0o47535721
Hexadecimal	0x9EBBD1

Divisor Catalog (4)

1 13 800,213 10,402,769

Collatz Trajectory (207 steps to reach 1)

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

10,402,769 31,208,308 15,604,154 7,802,077 23,406,232 11,703,116 5,851,558 2,925,779 8,777,338 4,388,669 13,166,008 6,583,004 3,291,502 1,645,751 4,937,254 2,468,627 7,405,882 3,702,941 11,108,824 5,554,412 2,777,206 1,388,603 4,165,810 2,082,905 6,248,716 3,124,358 1,562,179 4,686,538 2,343,269 7,029,808 3,514,904 1,757,452 878,726 439,363 1,318,090 659,045 1,977,136 988,568 494,284 247,142 123,571 370,714 185,357 556,072 278,036 139,018 69,509 208,528 104,264 52,132 26,066 13,033 39,100 19,550 9,775 29,326 14,663 43,990 21,995 65,986

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