10,698,415

5 × 7² × 13 × 3359

10,698,415 factors as 5 × 7^2 × 13 × 3359. Its 24 positive divisors give a proper-divisor sum of 5,389,265, so this integer is deficient. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 13 × 3359

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,087,680

Proper Divisor Sum 5,389,265

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #10698407 ← → #10698449

Radix Representation

Decimal	10698415
Binary	101000110011111010101111 (24 bits)
Octal	0o50637257
Hexadecimal	0xA33EAF

Divisor Catalog (24)

Collatz Trajectory (158 steps to reach 1)

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

10,698,415 32,095,246 16,047,623 48,142,870 24,071,435 72,214,306 36,107,153 108,321,460 54,160,730 27,080,365 81,241,096 40,620,548 20,310,274 10,155,137 30,465,412 15,232,706 7,616,353 22,849,060 11,424,530 5,712,265 17,136,796 8,568,398 4,284,199 12,852,598 6,426,299 19,278,898 9,639,449 28,918,348 14,459,174 7,229,587 21,688,762 10,844,381 32,533,144 16,266,572 8,133,286 4,066,643 12,199,930 6,099,965 18,299,896 9,149,948 4,574,974 2,287,487 6,862,462 3,431,231 10,293,694 5,146,847 15,440,542 7,720,271 23,160,814 11,580,407 34,741,222 17,370,611 52,111,834 26,055,917 78,167,752 39,083,876 19,541,938 9,770,969 29,312,908 14,656,454

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