1,527,635

5 × 109 × 2803

Starting at 1,527,635, the Collatz iteration reaches 1 after 300 steps. The first transition is 4582906; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 109 × 2803

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,850,640

Proper Divisor Sum 323,005

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1527629 ← → #1527677

Radix Representation

Decimal	1527635
Binary	101110100111101010011 (21 bits)
Octal	0o5647523
Hexadecimal	0x174F53

Divisor Catalog (8)

1 5 109 545 2,803 14,015 305,527 1,527,635

Collatz Trajectory (300 steps to reach 1)

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

1,527,635 4,582,906 2,291,453 6,874,360 3,437,180 1,718,590 859,295 2,577,886 1,288,943 3,866,830 1,933,415 5,800,246 2,900,123 8,700,370 4,350,185 13,050,556 6,525,278 3,262,639 9,787,918 4,893,959 14,681,878 7,340,939 22,022,818 11,011,409 33,034,228 16,517,114 8,258,557 24,775,672 12,387,836 6,193,918 3,096,959 9,290,878 4,645,439 13,936,318 6,968,159 20,904,478 10,452,239 31,356,718 15,678,359 47,035,078 23,517,539 70,552,618 35,276,309 105,828,928 52,914,464 26,457,232 13,228,616 6,614,308 3,307,154 1,653,577 4,960,732 2,480,366 1,240,183 3,720,550 1,860,275 5,580,826 2,790,413 8,371,240 4,185,620 2,092,810

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