7,858,130

2 × 5 × 7³ × 29 × 79

Starting at 7,858,130, the Collatz iteration reaches 1 after 80 steps. The first transition is 3929065; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7^3 × 29 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 17,280,000

Proper Divisor Sum 9,421,870

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7858129 ← → #7858141

Radix Representation

Decimal	7858130
Binary	11101111110011111010010 (23 bits)
Octal	0o35763722
Hexadecimal	0x77E7D2

Divisor Catalog (60 of 64)

1 2 5 7 10 14 29 35 49 58 70 79 98 145 158 203 245 290 343 395 406 490 553 686 790 1,015 1,106 1,421 1,715 2,030 2,291 2,765 2,842 3,430 3,871 4,582 5,530 7,105 7,742 9,947 11,455 14,210 16,037 19,355 19,894 22,910 27,097 32,074 38,710 49,735 54,194 80,185 99,470 112,259 135,485 160,370 224,518 270,970 561,295 785,813

Collatz Trajectory (80 steps to reach 1)

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

7,858,130 3,929,065 11,787,196 5,893,598 2,946,799 8,840,398 4,420,199 13,260,598 6,630,299 19,890,898 9,945,449 29,836,348 14,918,174 7,459,087 22,377,262 11,188,631 33,565,894 16,782,947 50,348,842 25,174,421 75,523,264 37,761,632 18,880,816 9,440,408 4,720,204 2,360,102 1,180,051 3,540,154 1,770,077 5,310,232 2,655,116 1,327,558 663,779 1,991,338 995,669 2,987,008 1,493,504 746,752 373,376 186,688 93,344 46,672 23,336 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232

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