13,785,076

2² × 71 × 48539

13,785,076 factors as 2^2 × 71 × 48539. Its 12 positive divisors give a proper-divisor sum of 10,679,084, so this integer is deficient. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2^2 × 71 × 48539

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 24,464,160

Proper Divisor Sum 10,679,084

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #13785041 ← → #13785091

Radix Representation

Decimal	13785076
Binary	110100100101011111110100 (24 bits)
Octal	0o64453764
Hexadecimal	0xD257F4

Divisor Catalog (12)

1 2 4 71 142 284 48,539 97,078 194,156 3,446,269 6,892,538 13,785,076

Collatz Trajectory (223 steps to reach 1)

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

13,785,076 6,892,538 3,446,269 10,338,808 5,169,404 2,584,702 1,292,351 3,877,054 1,938,527 5,815,582 2,907,791 8,723,374 4,361,687 13,085,062 6,542,531 19,627,594 9,813,797 29,441,392 14,720,696 7,360,348 3,680,174 1,840,087 5,520,262 2,760,131 8,280,394 4,140,197 12,420,592 6,210,296 3,105,148 1,552,574 776,287 2,328,862 1,164,431 3,493,294 1,746,647 5,239,942 2,619,971 7,859,914 3,929,957 11,789,872 5,894,936 2,947,468 1,473,734 736,867 2,210,602 1,105,301 3,315,904 1,657,952 828,976 414,488 207,244 103,622 51,811 155,434 77,717 233,152 116,576 58,288 29,144 14,572

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