1,535,730

2 × 3 × 5 × 7 × 71 × 103

Starting at 1,535,730, the Collatz iteration reaches 1 after 106 steps. The first transition is 767865; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 71 × 103

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 4,313,088

Proper Divisor Sum 2,777,358

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1535719 ← → #1535741

Radix Representation

Decimal	1535730
Binary	101110110111011110010 (21 bits)
Octal	0o5667362
Hexadecimal	0x176EF2

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 103 105 142 206 210 213 309 355 426 497 515 618 710 721 994 1,030 1,065 1,442 1,491 1,545 2,130 2,163 2,485 2,982 3,090 3,605 4,326 4,970 7,210 7,313 7,455 10,815 14,626 14,910 21,630 21,939 36,565 43,878 51,191 73,130 102,382 109,695 153,573 219,390 255,955

Collatz Trajectory (106 steps to reach 1)

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

1,535,730 767,865 2,303,596 1,151,798 575,899 1,727,698 863,849 2,591,548 1,295,774 647,887 1,943,662 971,831 2,915,494 1,457,747 4,373,242 2,186,621 6,559,864 3,279,932 1,639,966 819,983 2,459,950 1,229,975 3,689,926 1,844,963 5,534,890 2,767,445 8,302,336 4,151,168 2,075,584 1,037,792 518,896 259,448 129,724 64,862 32,431 97,294 48,647 145,942 72,971 218,914 109,457 328,372 164,186 82,093 246,280 123,140 61,570 30,785 92,356 46,178 23,089 69,268 34,634 17,317 51,952 25,976 12,988 6,494 3,247 9,742

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