7,446,705

3 × 5 × 7 × 70921

Starting at 7,446,705, the Collatz iteration reaches 1 after 173 steps. The first transition is 22340116; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 70921

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,617,024

Proper Divisor Sum 6,170,319

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7446679 ← → #7446709

Radix Representation

Decimal	7446705
Binary	11100011010000010110001 (23 bits)
Octal	0o34320261
Hexadecimal	0x71A0B1

Divisor Catalog (16)

1 3 5 7 15 21 35 105 70,921 212,763 354,605 496,447 1,063,815 1,489,341 2,482,235 7,446,705

Collatz Trajectory (173 steps to reach 1)

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

7,446,705 22,340,116 11,170,058 5,585,029 16,755,088 8,377,544 4,188,772 2,094,386 1,047,193 3,141,580 1,570,790 785,395 2,356,186 1,178,093 3,534,280 1,767,140 883,570 441,785 1,325,356 662,678 331,339 994,018 497,009 1,491,028 745,514 372,757 1,118,272 559,136 279,568 139,784 69,892 34,946 17,473 52,420 26,210 13,105 39,316 19,658 9,829 29,488 14,744 7,372 3,686 1,843 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220

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