7,641,450

2 × 3² × 5² × 16981

Starting at 7,641,450, the Collatz iteration reaches 1 after 80 steps. The first transition is 3820725; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 16981

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 20,531,238

Proper Divisor Sum 12,889,788

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7641437 ← → #7641461

Radix Representation

Decimal	7641450
Binary	11101001001100101101010 (23 bits)
Octal	0o35114552
Hexadecimal	0x74996A

Divisor Catalog (36)

1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 16,981 33,962 50,943 84,905 101,886 152,829 169,810 254,715 305,658 424,525 509,430 764,145 849,050 1,273,575 1,528,290 2,547,150 3,820,725 7,641,450

Collatz Trajectory (80 steps to reach 1)

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

7,641,450 3,820,725 11,462,176 5,731,088 2,865,544 1,432,772 716,386 358,193 1,074,580 537,290 268,645 805,936 402,968 201,484 100,742 50,371 151,114 75,557 226,672 113,336 56,668 28,334 14,167 42,502 21,251 63,754 31,877 95,632 47,816 23,908 11,954 5,977 17,932 8,966 4,483 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38

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