4,498,140

2² × 3 × 5 × 61 × 1229

Starting at 4,498,140, the Collatz iteration reaches 1 after 136 steps. The first transition is 2249070; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 61 × 1229

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,811,680

Proper Divisor Sum 8,313,540

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4498129 ← → #4498141

Radix Representation

Decimal	4498140
Binary	10001001010001011011100 (23 bits)
Octal	0o21121334
Hexadecimal	0x44A2DC

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1,220 1,229 1,830 2,458 3,660 3,687 4,916 6,145 7,374 12,290 14,748 18,435 24,580 36,870 73,740 74,969 149,938 224,907 299,876 374,845 449,814 749,690 899,628 1,124,535 1,499,380 2,249,070 4,498,140

Collatz Trajectory (136 steps to reach 1)

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

4,498,140 2,249,070 1,124,535 3,373,606 1,686,803 5,060,410 2,530,205 7,590,616 3,795,308 1,897,654 948,827 2,846,482 1,423,241 4,269,724 2,134,862 1,067,431 3,202,294 1,601,147 4,803,442 2,401,721 7,205,164 3,602,582 1,801,291 5,403,874 2,701,937 8,105,812 4,052,906 2,026,453 6,079,360 3,039,680 1,519,840 759,920 379,960 189,980 94,990 47,495 142,486 71,243 213,730 106,865 320,596 160,298 80,149 240,448 120,224 60,112 30,056 15,028 7,514 3,757 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793

← Previous Integer #4,498,139 Browse Full Index Next Integer #4,498,141 →