2,635,575

3 × 5² × 35141

For 2,635,575, the 12 positive divisors have a total of 4,357,608. Removing 2,635,575 leaves 1,722,033, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5^2 × 35141

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,357,608

Proper Divisor Sum 1,722,033

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2635553 ← → #2635583

Radix Representation

Decimal	2635575
Binary	1010000011011100110111 (22 bits)
Octal	0o12033467
Hexadecimal	0x283737

Divisor Catalog (12)

1 3 5 15 25 75 35,141 105,423 175,705 527,115 878,525 2,635,575

Collatz Trajectory (125 steps to reach 1)

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

2,635,575 7,906,726 3,953,363 11,860,090 5,930,045 17,790,136 8,895,068 4,447,534 2,223,767 6,671,302 3,335,651 10,006,954 5,003,477 15,010,432 7,505,216 3,752,608 1,876,304 938,152 469,076 234,538 117,269 351,808 175,904 87,952 43,976 21,988 10,994 5,497 16,492 8,246 4,123 12,370 6,185 18,556 9,278 4,639 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726

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