4,032,815

5 × 37 × 21799

Starting at 4,032,815, the Collatz iteration reaches 1 after 92 steps. The first transition is 12098446; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 37 × 21799

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,970,400

Proper Divisor Sum 937,585

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4032811 ← → #4032839

Radix Representation

Decimal	4032815
Binary	1111011000100100101111 (22 bits)
Octal	0o17304457
Hexadecimal	0x3D892F

Divisor Catalog (8)

1 5 37 185 21,799 108,995 806,563 4,032,815

Collatz Trajectory (92 steps to reach 1)

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

4,032,815 12,098,446 6,049,223 18,147,670 9,073,835 27,221,506 13,610,753 40,832,260 20,416,130 10,208,065 30,624,196 15,312,098 7,656,049 22,968,148 11,484,074 5,742,037 17,226,112 8,613,056 4,306,528 2,153,264 1,076,632 538,316 269,158 134,579 403,738 201,869 605,608 302,804 151,402 75,701 227,104 113,552 56,776 28,388 14,194 7,097 21,292 10,646 5,323 15,970 7,985 23,956 11,978 5,989 17,968 8,984 4,492 2,246 1,123 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119

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