5,635,265

5 × 1009 × 1117

Starting at 5,635,265, the Collatz iteration reaches 1 after 108 steps. The first transition is 16905796; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 1009 × 1117

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,775,080

Proper Divisor Sum 1,139,815

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5635261 ← → #5635271

Radix Representation

Decimal	5635265
Binary	10101011111110011000001 (23 bits)
Octal	0o25376301
Hexadecimal	0x55FCC1

Divisor Catalog (8)

1 5 1,009 1,117 5,045 5,585 1,127,053 5,635,265

Collatz Trajectory (108 steps to reach 1)

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

5,635,265 16,905,796 8,452,898 4,226,449 12,679,348 6,339,674 3,169,837 9,509,512 4,754,756 2,377,378 1,188,689 3,566,068 1,783,034 891,517 2,674,552 1,337,276 668,638 334,319 1,002,958 501,479 1,504,438 752,219 2,256,658 1,128,329 3,384,988 1,692,494 846,247 2,538,742 1,269,371 3,808,114 1,904,057 5,712,172 2,856,086 1,428,043 4,284,130 2,142,065 6,426,196 3,213,098 1,606,549 4,819,648 2,409,824 1,204,912 602,456 301,228 150,614 75,307 225,922 112,961 338,884 169,442 84,721 254,164 127,082 63,541 190,624 95,312 47,656 23,828 11,914 5,957

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